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Finding the Fourth Proportional to 10,711.70, 16,060.35 and 4,865.30

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Solution

The fourth proportional to 10,711.70, 16,060.35 and 4,865.30 is: 7,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.70 : 16,060.35 = 4,865.30 : x
  2. Step 2: Convert to fraction form
    10,711.70/16,060.35 = 4,865.30/x
  3. Step 3: Cross multiply
    10,711.70x = 16,060.35 × 4,865.30
  4. Step 4: Simplify right side
    10,711.70x = 78,138,420.86
  5. Step 5: Solve for x
    x = 78,138,420.86/10,711.70
  6. Step 6: Final answer
    x = 7,294.68

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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.