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Finding the Fourth Proportional to 8,026.47, 12,037.24 and 2,831.13

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Solution

The fourth proportional to 8,026.47, 12,037.24 and 2,831.13 is: 4,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.47 : 12,037.24 = 2,831.13 : x
  2. Step 2: Convert to fraction form
    8,026.47/12,037.24 = 2,831.13/x
  3. Step 3: Cross multiply
    8,026.47x = 12,037.24 × 2,831.13
  4. Step 4: Simplify right side
    8,026.47x = 34,078,991.28
  5. Step 5: Solve for x
    x = 34,078,991.28/8,026.47
  6. Step 6: Final answer
    x = 4,245.83

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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.