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Finding the Fourth Proportional to 7,387.52, 11,083.16 and 2,457.20

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Solution

The fourth proportional to 7,387.52, 11,083.16 and 2,457.20 is: 3,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.52 : 11,083.16 = 2,457.20 : x
  2. Step 2: Convert to fraction form
    7,387.52/11,083.16 = 2,457.20/x
  3. Step 3: Cross multiply
    7,387.52x = 11,083.16 × 2,457.20
  4. Step 4: Simplify right side
    7,387.52x = 27,233,540.75
  5. Step 5: Solve for x
    x = 27,233,540.75/7,387.52
  6. Step 6: Final answer
    x = 3,686.43

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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.