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Finding the Fourth Proportional to 8,159.88, 12,234.86 and 3,477.27

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Solution

The fourth proportional to 8,159.88, 12,234.86 and 3,477.27 is: 5,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.88 : 12,234.86 = 3,477.27 : x
  2. Step 2: Convert to fraction form
    8,159.88/12,234.86 = 3,477.27/x
  3. Step 3: Cross multiply
    8,159.88x = 12,234.86 × 3,477.27
  4. Step 4: Simplify right side
    8,159.88x = 42,543,894.25
  5. Step 5: Solve for x
    x = 42,543,894.25/8,159.88
  6. Step 6: Final answer
    x = 5,213.79

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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.