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Finding the Fourth Proportional to 8,037.78, 12,056.68 and 2,195.24

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Solution

The fourth proportional to 8,037.78, 12,056.68 and 2,195.24 is: 3,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.78 : 12,056.68 = 2,195.24 : x
  2. Step 2: Convert to fraction form
    8,037.78/12,056.68 = 2,195.24/x
  3. Step 3: Cross multiply
    8,037.78x = 12,056.68 × 2,195.24
  4. Step 4: Simplify right side
    8,037.78x = 26,467,306.20
  5. Step 5: Solve for x
    x = 26,467,306.20/8,037.78
  6. Step 6: Final answer
    x = 3,292.86

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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.