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Finding the Fourth Proportional to 11,689.16, 17,498.28 and 7,532.14

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Solution

The fourth proportional to 11,689.16, 17,498.28 and 7,532.14 is: 11,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.16 : 17,498.28 = 7,532.14 : x
  2. Step 2: Convert to fraction form
    11,689.16/17,498.28 = 7,532.14/x
  3. Step 3: Cross multiply
    11,689.16x = 17,498.28 × 7,532.14
  4. Step 4: Simplify right side
    11,689.16x = 131,799,469.66
  5. Step 5: Solve for x
    x = 131,799,469.66/11,689.16
  6. Step 6: Final answer
    x = 11,275.36

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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.