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Finding the Fourth Proportional to 8,037.20, 12,046.20 and 4,139.60

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Solution

The fourth proportional to 8,037.20, 12,046.20 and 4,139.60 is: 6,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.20 : 12,046.20 = 4,139.60 : x
  2. Step 2: Convert to fraction form
    8,037.20/12,046.20 = 4,139.60/x
  3. Step 3: Cross multiply
    8,037.20x = 12,046.20 × 4,139.60
  4. Step 4: Simplify right side
    8,037.20x = 49,866,449.52
  5. Step 5: Solve for x
    x = 49,866,449.52/8,037.20
  6. Step 6: Final answer
    x = 6,204.46

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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.