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Finding the Fourth Proportional to 8,230.06, 12,342.17 and 2,963.66

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Solution

The fourth proportional to 8,230.06, 12,342.17 and 2,963.66 is: 4,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.06 : 12,342.17 = 2,963.66 : x
  2. Step 2: Convert to fraction form
    8,230.06/12,342.17 = 2,963.66/x
  3. Step 3: Cross multiply
    8,230.06x = 12,342.17 × 2,963.66
  4. Step 4: Simplify right side
    8,230.06x = 36,577,987.52
  5. Step 5: Solve for x
    x = 36,577,987.52/8,230.06
  6. Step 6: Final answer
    x = 4,444.44

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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.