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Finding the Fourth Proportional to 8,481.46, 12,730.02 and 6,112

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Solution

The fourth proportional to 8,481.46, 12,730.02 and 6,112 is: 9,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.46 : 12,730.02 = 6,112 : x
  2. Step 2: Convert to fraction form
    8,481.46/12,730.02 = 6,112/x
  3. Step 3: Cross multiply
    8,481.46x = 12,730.02 × 6,112
  4. Step 4: Simplify right side
    8,481.46x = 77,805,882.24
  5. Step 5: Solve for x
    x = 77,805,882.24/8,481.46
  6. Step 6: Final answer
    x = 9,173.64

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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.