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Finding the Fourth Proportional to 8,284.66, 12,426.71 and 2,737.87

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Solution

The fourth proportional to 8,284.66, 12,426.71 and 2,737.87 is: 4,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.66 : 12,426.71 = 2,737.87 : x
  2. Step 2: Convert to fraction form
    8,284.66/12,426.71 = 2,737.87/x
  3. Step 3: Cross multiply
    8,284.66x = 12,426.71 × 2,737.87
  4. Step 4: Simplify right side
    8,284.66x = 34,022,671.75
  5. Step 5: Solve for x
    x = 34,022,671.75/8,284.66
  6. Step 6: Final answer
    x = 4,106.71

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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.