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Finding the Fourth Proportional to 8,153.25, 12,229.46 and 2,309.88

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Solution

The fourth proportional to 8,153.25, 12,229.46 and 2,309.88 is: 3,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.25 : 12,229.46 = 2,309.88 : x
  2. Step 2: Convert to fraction form
    8,153.25/12,229.46 = 2,309.88/x
  3. Step 3: Cross multiply
    8,153.25x = 12,229.46 × 2,309.88
  4. Step 4: Simplify right side
    8,153.25x = 28,248,573.52
  5. Step 5: Solve for x
    x = 28,248,573.52/8,153.25
  6. Step 6: Final answer
    x = 3,464.70

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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.