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Finding the Fourth Proportional to 11,689.29, 17,515.71 and 6,761.25

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Solution

The fourth proportional to 11,689.29, 17,515.71 and 6,761.25 is: 10,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.29 : 17,515.71 = 6,761.25 : x
  2. Step 2: Convert to fraction form
    11,689.29/17,515.71 = 6,761.25/x
  3. Step 3: Cross multiply
    11,689.29x = 17,515.71 × 6,761.25
  4. Step 4: Simplify right side
    11,689.29x = 118,428,094.24
  5. Step 5: Solve for x
    x = 118,428,094.24/11,689.29
  6. Step 6: Final answer
    x = 10,131.33

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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.