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Finding the Fourth Proportional to 10,689.56, 16,040.36 and 5,759.08

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Solution

The fourth proportional to 10,689.56, 16,040.36 and 5,759.08 is: 8,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.56 : 16,040.36 = 5,759.08 : x
  2. Step 2: Convert to fraction form
    10,689.56/16,040.36 = 5,759.08/x
  3. Step 3: Cross multiply
    10,689.56x = 16,040.36 × 5,759.08
  4. Step 4: Simplify right side
    10,689.56x = 92,377,716.47
  5. Step 5: Solve for x
    x = 92,377,716.47/10,689.56
  6. Step 6: Final answer
    x = 8,641.86

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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.