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Finding the Fourth Proportional to 11,515.68, 15,891.69 and 6,802.29

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Solution

The fourth proportional to 11,515.68, 15,891.69 and 6,802.29 is: 9,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.68 : 15,891.69 = 6,802.29 : x
  2. Step 2: Convert to fraction form
    11,515.68/15,891.69 = 6,802.29/x
  3. Step 3: Cross multiply
    11,515.68x = 15,891.69 × 6,802.29
  4. Step 4: Simplify right side
    11,515.68x = 108,099,883.97
  5. Step 5: Solve for x
    x = 108,099,883.97/11,515.68
  6. Step 6: Final answer
    x = 9,387.19

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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.