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Finding the Fourth Proportional to 10,488.92, 14,475.46 and 6,013.78

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Solution

The fourth proportional to 10,488.92, 14,475.46 and 6,013.78 is: 8,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.92 : 14,475.46 = 6,013.78 : x
  2. Step 2: Convert to fraction form
    10,488.92/14,475.46 = 6,013.78/x
  3. Step 3: Cross multiply
    10,488.92x = 14,475.46 × 6,013.78
  4. Step 4: Simplify right side
    10,488.92x = 87,052,180.62
  5. Step 5: Solve for x
    x = 87,052,180.62/10,488.92
  6. Step 6: Final answer
    x = 8,299.44

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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.