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Finding the Fourth Proportional to 10,517.71, 15,778.02 and 3,853.35

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Solution

The fourth proportional to 10,517.71, 15,778.02 and 3,853.35 is: 5,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.71 : 15,778.02 = 3,853.35 : x
  2. Step 2: Convert to fraction form
    10,517.71/15,778.02 = 3,853.35/x
  3. Step 3: Cross multiply
    10,517.71x = 15,778.02 × 3,853.35
  4. Step 4: Simplify right side
    10,517.71x = 60,798,233.37
  5. Step 5: Solve for x
    x = 60,798,233.37/10,517.71
  6. Step 6: Final answer
    x = 5,780.56

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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.