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Finding the Fourth Proportional to 10,521.87, 14,519.97 and 6,048.38

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Solution

The fourth proportional to 10,521.87, 14,519.97 and 6,048.38 is: 8,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.87 : 14,519.97 = 6,048.38 : x
  2. Step 2: Convert to fraction form
    10,521.87/14,519.97 = 6,048.38/x
  3. Step 3: Cross multiply
    10,521.87x = 14,519.97 × 6,048.38
  4. Step 4: Simplify right side
    10,521.87x = 87,822,223.55
  5. Step 5: Solve for x
    x = 87,822,223.55/10,521.87
  6. Step 6: Final answer
    x = 8,346.64

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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.