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Finding the Fourth Proportional to 8,024.77, 12,037.16 and 2,182.24

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Solution

The fourth proportional to 8,024.77, 12,037.16 and 2,182.24 is: 3,273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.77 : 12,037.16 = 2,182.24 : x
  2. Step 2: Convert to fraction form
    8,024.77/12,037.16 = 2,182.24/x
  3. Step 3: Cross multiply
    8,024.77x = 12,037.16 × 2,182.24
  4. Step 4: Simplify right side
    8,024.77x = 26,267,972.04
  5. Step 5: Solve for x
    x = 26,267,972.04/8,024.77
  6. Step 6: Final answer
    x = 3,273.36

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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.