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Finding the Fourth Proportional to 10,708.70, 16,066.02 and 4,471.65

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Solution

The fourth proportional to 10,708.70, 16,066.02 and 4,471.65 is: 6,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.70 : 16,066.02 = 4,471.65 : x
  2. Step 2: Convert to fraction form
    10,708.70/16,066.02 = 4,471.65/x
  3. Step 3: Cross multiply
    10,708.70x = 16,066.02 × 4,471.65
  4. Step 4: Simplify right side
    10,708.70x = 71,841,618.33
  5. Step 5: Solve for x
    x = 71,841,618.33/10,708.70
  6. Step 6: Final answer
    x = 6,708.72

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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.