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Finding the Fourth Proportional to 11,515.29, 15,891.17 and 6,801.90

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Solution

The fourth proportional to 11,515.29, 15,891.17 and 6,801.90 is: 9,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.29 : 15,891.17 = 6,801.90 : x
  2. Step 2: Convert to fraction form
    11,515.29/15,891.17 = 6,801.90/x
  3. Step 3: Cross multiply
    11,515.29x = 15,891.17 × 6,801.90
  4. Step 4: Simplify right side
    11,515.29x = 108,090,149.22
  5. Step 5: Solve for x
    x = 108,090,149.22/11,515.29
  6. Step 6: Final answer
    x = 9,386.66

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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.