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Finding the Fourth Proportional to 8,782.38, 12,118.82 and 5,198.67

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Solution

The fourth proportional to 8,782.38, 12,118.82 and 5,198.67 is: 7,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.38 : 12,118.82 = 5,198.67 : x
  2. Step 2: Convert to fraction form
    8,782.38/12,118.82 = 5,198.67/x
  3. Step 3: Cross multiply
    8,782.38x = 12,118.82 × 5,198.67
  4. Step 4: Simplify right side
    8,782.38x = 63,001,719.98
  5. Step 5: Solve for x
    x = 63,001,719.98/8,782.38
  6. Step 6: Final answer
    x = 7,173.65

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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.