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Finding the Fourth Proportional to 8,049.57, 12,076.07 and 2,502.78

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Solution

The fourth proportional to 8,049.57, 12,076.07 and 2,502.78 is: 3,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.57 : 12,076.07 = 2,502.78 : x
  2. Step 2: Convert to fraction form
    8,049.57/12,076.07 = 2,502.78/x
  3. Step 3: Cross multiply
    8,049.57x = 12,076.07 × 2,502.78
  4. Step 4: Simplify right side
    8,049.57x = 30,223,746.47
  5. Step 5: Solve for x
    x = 30,223,746.47/8,049.57
  6. Step 6: Final answer
    x = 3,754.70

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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.