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Finding the Fourth Proportional to 11,578,098.38, 15,978,756.75 and 6,423,120.50

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Solution

The fourth proportional to 11,578,098.38, 15,978,756.75 and 6,423,120.50 is: 8,864,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578,098.38 : 15,978,756.75 = 6,423,120.50 : x
  2. Step 2: Convert to fraction form
    11,578,098.38/15,978,756.75 = 6,423,120.50/x
  3. Step 3: Cross multiply
    11,578,098.38x = 15,978,756.75 × 6,423,120.50
  4. Step 4: Simplify right side
    11,578,098.38x = 102,633,480,045,438.38
  5. Step 5: Solve for x
    x = 102,633,480,045,438.38/11,578,098.38
  6. Step 6: Final answer
    x = 8,864,450.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.