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Finding the Fourth Proportional to 8,217.76, 12,327.92 and 4,930.08

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Solution

The fourth proportional to 8,217.76, 12,327.92 and 4,930.08 is: 7,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.76 : 12,327.92 = 4,930.08 : x
  2. Step 2: Convert to fraction form
    8,217.76/12,327.92 = 4,930.08/x
  3. Step 3: Cross multiply
    8,217.76x = 12,327.92 × 4,930.08
  4. Step 4: Simplify right side
    8,217.76x = 60,777,631.83
  5. Step 5: Solve for x
    x = 60,777,631.83/8,217.76
  6. Step 6: Final answer
    x = 7,395.89

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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.