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Finding the Fourth Proportional to 8,037.74, 12,040.92 and 5,538.49

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Solution

The fourth proportional to 8,037.74, 12,040.92 and 5,538.49 is: 8,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.74 : 12,040.92 = 5,538.49 : x
  2. Step 2: Convert to fraction form
    8,037.74/12,040.92 = 5,538.49/x
  3. Step 3: Cross multiply
    8,037.74x = 12,040.92 × 5,538.49
  4. Step 4: Simplify right side
    8,037.74x = 66,688,484.91
  5. Step 5: Solve for x
    x = 66,688,484.91/8,037.74
  6. Step 6: Final answer
    x = 8,296.92

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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.