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Finding the Fourth Proportional to 8,023.62, 12,037.40 and 2,758.71

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Solution

The fourth proportional to 8,023.62, 12,037.40 and 2,758.71 is: 4,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.62 : 12,037.40 = 2,758.71 : x
  2. Step 2: Convert to fraction form
    8,023.62/12,037.40 = 2,758.71/x
  3. Step 3: Cross multiply
    8,023.62x = 12,037.40 × 2,758.71
  4. Step 4: Simplify right side
    8,023.62x = 33,207,695.75
  5. Step 5: Solve for x
    x = 33,207,695.75/8,023.62
  6. Step 6: Final answer
    x = 4,138.74

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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.