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Finding the Fourth Proportional to 8,180.92, 12,271.71 and 2,258.29

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Solution

The fourth proportional to 8,180.92, 12,271.71 and 2,258.29 is: 3,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.92 : 12,271.71 = 2,258.29 : x
  2. Step 2: Convert to fraction form
    8,180.92/12,271.71 = 2,258.29/x
  3. Step 3: Cross multiply
    8,180.92x = 12,271.71 × 2,258.29
  4. Step 4: Simplify right side
    8,180.92x = 27,713,079.98
  5. Step 5: Solve for x
    x = 27,713,079.98/8,180.92
  6. Step 6: Final answer
    x = 3,387.53

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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.