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Finding the Fourth Proportional to 11,542.85, 15,929.18 and 6,237.71

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Solution

The fourth proportional to 11,542.85, 15,929.18 and 6,237.71 is: 8,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.85 : 15,929.18 = 6,237.71 : x
  2. Step 2: Convert to fraction form
    11,542.85/15,929.18 = 6,237.71/x
  3. Step 3: Cross multiply
    11,542.85x = 15,929.18 × 6,237.71
  4. Step 4: Simplify right side
    11,542.85x = 99,361,577.67
  5. Step 5: Solve for x
    x = 99,361,577.67/11,542.85
  6. Step 6: Final answer
    x = 8,608.06

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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.