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Finding the Fourth Proportional to 10,708.66, 16,065.24 and 3,689.31

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Solution

The fourth proportional to 10,708.66, 16,065.24 and 3,689.31 is: 5,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.66 : 16,065.24 = 3,689.31 : x
  2. Step 2: Convert to fraction form
    10,708.66/16,065.24 = 3,689.31/x
  3. Step 3: Cross multiply
    10,708.66x = 16,065.24 × 3,689.31
  4. Step 4: Simplify right side
    10,708.66x = 59,269,650.58
  5. Step 5: Solve for x
    x = 59,269,650.58/10,708.66
  6. Step 6: Final answer
    x = 5,534.74

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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.