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Finding the Fourth Proportional to 8,023.86, 12,037.86 and 3,092.18

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Solution

The fourth proportional to 8,023.86, 12,037.86 and 3,092.18 is: 4,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.86 : 12,037.86 = 3,092.18 : x
  2. Step 2: Convert to fraction form
    8,023.86/12,037.86 = 3,092.18/x
  3. Step 3: Cross multiply
    8,023.86x = 12,037.86 × 3,092.18
  4. Step 4: Simplify right side
    8,023.86x = 37,223,169.75
  5. Step 5: Solve for x
    x = 37,223,169.75/8,023.86
  6. Step 6: Final answer
    x = 4,639.06

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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.