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Finding the Fourth Proportional to 25,242.80, 37,862.82 and 7,711.26

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Solution

The fourth proportional to 25,242.80, 37,862.82 and 7,711.26 is: 11,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,242.80 : 37,862.82 = 7,711.26 : x
  2. Step 2: Convert to fraction form
    25,242.80/37,862.82 = 7,711.26/x
  3. Step 3: Cross multiply
    25,242.80x = 37,862.82 × 7,711.26
  4. Step 4: Simplify right side
    25,242.80x = 291,970,049.35
  5. Step 5: Solve for x
    x = 291,970,049.35/25,242.80
  6. Step 6: Final answer
    x = 11,566.47

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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.