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Finding the Fourth Proportional to 11,537.64, 17,320.17 and 9,711.48

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Solution

The fourth proportional to 11,537.64, 17,320.17 and 9,711.48 is: 14,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.64 : 17,320.17 = 9,711.48 : x
  2. Step 2: Convert to fraction form
    11,537.64/17,320.17 = 9,711.48/x
  3. Step 3: Cross multiply
    11,537.64x = 17,320.17 × 9,711.48
  4. Step 4: Simplify right side
    11,537.64x = 168,204,484.55
  5. Step 5: Solve for x
    x = 168,204,484.55/11,537.64
  6. Step 6: Final answer
    x = 14,578.76

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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.