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Finding the Fourth Proportional to 8,921.60, 12,311.79 and 4,942.71

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Solution

The fourth proportional to 8,921.60, 12,311.79 and 4,942.71 is: 6,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.60 : 12,311.79 = 4,942.71 : x
  2. Step 2: Convert to fraction form
    8,921.60/12,311.79 = 4,942.71/x
  3. Step 3: Cross multiply
    8,921.60x = 12,311.79 × 4,942.71
  4. Step 4: Simplify right side
    8,921.60x = 60,853,607.55
  5. Step 5: Solve for x
    x = 60,853,607.55/8,921.60
  6. Step 6: Final answer
    x = 6,820.93

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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.