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Finding the Fourth Proportional to 11,689.52, 16,149.17 and 7,665.95

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Solution

The fourth proportional to 11,689.52, 16,149.17 and 7,665.95 is: 10,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.52 : 16,149.17 = 7,665.95 : x
  2. Step 2: Convert to fraction form
    11,689.52/16,149.17 = 7,665.95/x
  3. Step 3: Cross multiply
    11,689.52x = 16,149.17 × 7,665.95
  4. Step 4: Simplify right side
    11,689.52x = 123,798,668.18
  5. Step 5: Solve for x
    x = 123,798,668.18/11,689.52
  6. Step 6: Final answer
    x = 10,590.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.