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Finding the Fourth Proportional to 11,597.52, 17,397.12 and 5,748.24

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Solution

The fourth proportional to 11,597.52, 17,397.12 and 5,748.24 is: 8,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.52 : 17,397.12 = 5,748.24 : x
  2. Step 2: Convert to fraction form
    11,597.52/17,397.12 = 5,748.24/x
  3. Step 3: Cross multiply
    11,597.52x = 17,397.12 × 5,748.24
  4. Step 4: Simplify right side
    11,597.52x = 100,002,821.07
  5. Step 5: Solve for x
    x = 100,002,821.07/11,597.52
  6. Step 6: Final answer
    x = 8,622.78

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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.