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Finding the Fourth Proportional to 10,446.80, 15,671.57 and 5,516.64

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Solution

The fourth proportional to 10,446.80, 15,671.57 and 5,516.64 is: 8,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.80 : 15,671.57 = 5,516.64 : x
  2. Step 2: Convert to fraction form
    10,446.80/15,671.57 = 5,516.64/x
  3. Step 3: Cross multiply
    10,446.80x = 15,671.57 × 5,516.64
  4. Step 4: Simplify right side
    10,446.80x = 86,454,382.34
  5. Step 5: Solve for x
    x = 86,454,382.34/10,446.80
  6. Step 6: Final answer
    x = 8,275.68

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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.