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Finding the Fourth Proportional to 11,520.52, 17,284.14 and 3,729.16

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Solution

The fourth proportional to 11,520.52, 17,284.14 and 3,729.16 is: 5,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.52 : 17,284.14 = 3,729.16 : x
  2. Step 2: Convert to fraction form
    11,520.52/17,284.14 = 3,729.16/x
  3. Step 3: Cross multiply
    11,520.52x = 17,284.14 × 3,729.16
  4. Step 4: Simplify right side
    11,520.52x = 64,455,323.52
  5. Step 5: Solve for x
    x = 64,455,323.52/11,520.52
  6. Step 6: Final answer
    x = 5,594.83

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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.