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Finding the Fourth Proportional to 8,100.74, 12,148.74 and 2,834.78

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Solution

The fourth proportional to 8,100.74, 12,148.74 and 2,834.78 is: 4,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.74 : 12,148.74 = 2,834.78 : x
  2. Step 2: Convert to fraction form
    8,100.74/12,148.74 = 2,834.78/x
  3. Step 3: Cross multiply
    8,100.74x = 12,148.74 × 2,834.78
  4. Step 4: Simplify right side
    8,100.74x = 34,439,005.18
  5. Step 5: Solve for x
    x = 34,439,005.18/8,100.74
  6. Step 6: Final answer
    x = 4,251.34

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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.