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Finding the Fourth Proportional to 25,841.71, 38,757.43 and 7,116.90

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Solution

The fourth proportional to 25,841.71, 38,757.43 and 7,116.90 is: 10,673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841.71 : 38,757.43 = 7,116.90 : x
  2. Step 2: Convert to fraction form
    25,841.71/38,757.43 = 7,116.90/x
  3. Step 3: Cross multiply
    25,841.71x = 38,757.43 × 7,116.90
  4. Step 4: Simplify right side
    25,841.71x = 275,832,753.57
  5. Step 5: Solve for x
    x = 275,832,753.57/25,841.71
  6. Step 6: Final answer
    x = 10,673.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.