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Finding the Fourth Proportional to 8,159.10, 12,243.26 and 3,478.61

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Solution

The fourth proportional to 8,159.10, 12,243.26 and 3,478.61 is: 5,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.10 : 12,243.26 = 3,478.61 : x
  2. Step 2: Convert to fraction form
    8,159.10/12,243.26 = 3,478.61/x
  3. Step 3: Cross multiply
    8,159.10x = 12,243.26 × 3,478.61
  4. Step 4: Simplify right side
    8,159.10x = 42,589,448.06
  5. Step 5: Solve for x
    x = 42,589,448.06/8,159.10
  6. Step 6: Final answer
    x = 5,219.87

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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.