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Finding the Fourth Proportional to 10,700.57, 16,053.46 and 3,680.71

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Solution

The fourth proportional to 10,700.57, 16,053.46 and 3,680.71 is: 5,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.57 : 16,053.46 = 3,680.71 : x
  2. Step 2: Convert to fraction form
    10,700.57/16,053.46 = 3,680.71/x
  3. Step 3: Cross multiply
    10,700.57x = 16,053.46 × 3,680.71
  4. Step 4: Simplify right side
    10,700.57x = 59,088,081.42
  5. Step 5: Solve for x
    x = 59,088,081.42/10,700.57
  6. Step 6: Final answer
    x = 5,521.96

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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.