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Finding the Fourth Proportional to 11,542.12, 15,924.58 and 7,061.20

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Solution

The fourth proportional to 11,542.12, 15,924.58 and 7,061.20 is: 9,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.12 : 15,924.58 = 7,061.20 : x
  2. Step 2: Convert to fraction form
    11,542.12/15,924.58 = 7,061.20/x
  3. Step 3: Cross multiply
    11,542.12x = 15,924.58 × 7,061.20
  4. Step 4: Simplify right side
    11,542.12x = 112,446,644.30
  5. Step 5: Solve for x
    x = 112,446,644.30/11,542.12
  6. Step 6: Final answer
    x = 9,742.29

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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.