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Finding the Fourth Proportional to 8,287.47, 12,431.24 and 2,047.61

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Solution

The fourth proportional to 8,287.47, 12,431.24 and 2,047.61 is: 3,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.47 : 12,431.24 = 2,047.61 : x
  2. Step 2: Convert to fraction form
    8,287.47/12,431.24 = 2,047.61/x
  3. Step 3: Cross multiply
    8,287.47x = 12,431.24 × 2,047.61
  4. Step 4: Simplify right side
    8,287.47x = 25,454,258.94
  5. Step 5: Solve for x
    x = 25,454,258.94/8,287.47
  6. Step 6: Final answer
    x = 3,071.41

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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.