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Finding the Fourth Proportional to 8,180.52, 12,266.46 and 3,561

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Solution

The fourth proportional to 8,180.52, 12,266.46 and 3,561 is: 5,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.52 : 12,266.46 = 3,561 : x
  2. Step 2: Convert to fraction form
    8,180.52/12,266.46 = 3,561/x
  3. Step 3: Cross multiply
    8,180.52x = 12,266.46 × 3,561
  4. Step 4: Simplify right side
    8,180.52x = 43,680,864.06
  5. Step 5: Solve for x
    x = 43,680,864.06/8,180.52
  6. Step 6: Final answer
    x = 5,339.62

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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.