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Finding the Fourth Proportional to 8,177.84, 12,269.85 and 4,893.24

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Solution

The fourth proportional to 8,177.84, 12,269.85 and 4,893.24 is: 7,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.84 : 12,269.85 = 4,893.24 : x
  2. Step 2: Convert to fraction form
    8,177.84/12,269.85 = 4,893.24/x
  3. Step 3: Cross multiply
    8,177.84x = 12,269.85 × 4,893.24
  4. Step 4: Simplify right side
    8,177.84x = 60,039,320.81
  5. Step 5: Solve for x
    x = 60,039,320.81/8,177.84
  6. Step 6: Final answer
    x = 7,341.71

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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.