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Finding the Fourth Proportional to 7,437.52, 11,142.24 and 5,786.08

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Solution

The fourth proportional to 7,437.52, 11,142.24 and 5,786.08 is: 8,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.52 : 11,142.24 = 5,786.08 : x
  2. Step 2: Convert to fraction form
    7,437.52/11,142.24 = 5,786.08/x
  3. Step 3: Cross multiply
    7,437.52x = 11,142.24 × 5,786.08
  4. Step 4: Simplify right side
    7,437.52x = 64,469,892.02
  5. Step 5: Solve for x
    x = 64,469,892.02/7,437.52
  6. Step 6: Final answer
    x = 8,668.20

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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.