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Finding the Fourth Proportional to 10,031.40, 13,854.72 and 6,839.24

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Solution

The fourth proportional to 10,031.40, 13,854.72 and 6,839.24 is: 9,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.40 : 13,854.72 = 6,839.24 : x
  2. Step 2: Convert to fraction form
    10,031.40/13,854.72 = 6,839.24/x
  3. Step 3: Cross multiply
    10,031.40x = 13,854.72 × 6,839.24
  4. Step 4: Simplify right side
    10,031.40x = 94,755,755.21
  5. Step 5: Solve for x
    x = 94,755,755.21/10,031.40
  6. Step 6: Final answer
    x = 9,445.92

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