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Finding the Fourth Proportional to 8,006.32, 11,049.72 and 4,861.68

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Solution

The fourth proportional to 8,006.32, 11,049.72 and 4,861.68 is: 6,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.32 : 11,049.72 = 4,861.68 : x
  2. Step 2: Convert to fraction form
    8,006.32/11,049.72 = 4,861.68/x
  3. Step 3: Cross multiply
    8,006.32x = 11,049.72 × 4,861.68
  4. Step 4: Simplify right side
    8,006.32x = 53,720,202.73
  5. Step 5: Solve for x
    x = 53,720,202.73/8,006.32
  6. Step 6: Final answer
    x = 6,709.72

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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.