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Finding the Fourth Proportional to 10,711.89, 16,070.79 and 4,474.85

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Solution

The fourth proportional to 10,711.89, 16,070.79 and 4,474.85 is: 6,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.89 : 16,070.79 = 4,474.85 : x
  2. Step 2: Convert to fraction form
    10,711.89/16,070.79 = 4,474.85/x
  3. Step 3: Cross multiply
    10,711.89x = 16,070.79 × 4,474.85
  4. Step 4: Simplify right side
    10,711.89x = 71,914,294.28
  5. Step 5: Solve for x
    x = 71,914,294.28/10,711.89
  6. Step 6: Final answer
    x = 6,713.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.