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Finding the Fourth Proportional to 8,134.92, 12,200.76 and 2,290.32

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Solution

The fourth proportional to 8,134.92, 12,200.76 and 2,290.32 is: 3,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.92 : 12,200.76 = 2,290.32 : x
  2. Step 2: Convert to fraction form
    8,134.92/12,200.76 = 2,290.32/x
  3. Step 3: Cross multiply
    8,134.92x = 12,200.76 × 2,290.32
  4. Step 4: Simplify right side
    8,134.92x = 27,943,644.64
  5. Step 5: Solve for x
    x = 27,943,644.64/8,134.92
  6. Step 6: Final answer
    x = 3,435.02

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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.