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Finding the Fourth Proportional to 8,124.83, 12,187.68 and 2,578.60

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Solution

The fourth proportional to 8,124.83, 12,187.68 and 2,578.60 is: 3,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.83 : 12,187.68 = 2,578.60 : x
  2. Step 2: Convert to fraction form
    8,124.83/12,187.68 = 2,578.60/x
  3. Step 3: Cross multiply
    8,124.83x = 12,187.68 × 2,578.60
  4. Step 4: Simplify right side
    8,124.83x = 31,427,151.65
  5. Step 5: Solve for x
    x = 31,427,151.65/8,124.83
  6. Step 6: Final answer
    x = 3,868.04

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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.