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Finding the Fourth Proportional to 10,708.71, 14,778.08 and 5,992.70

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Solution

The fourth proportional to 10,708.71, 14,778.08 and 5,992.70 is: 8,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.71 : 14,778.08 = 5,992.70 : x
  2. Step 2: Convert to fraction form
    10,708.71/14,778.08 = 5,992.70/x
  3. Step 3: Cross multiply
    10,708.71x = 14,778.08 × 5,992.70
  4. Step 4: Simplify right side
    10,708.71x = 88,560,496.16
  5. Step 5: Solve for x
    x = 88,560,496.16/10,708.71
  6. Step 6: Final answer
    x = 8,269.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.