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Finding the Fourth Proportional to 8,115.84, 12,172.64 and 3,498.24

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Solution

The fourth proportional to 8,115.84, 12,172.64 and 3,498.24 is: 5,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.84 : 12,172.64 = 3,498.24 : x
  2. Step 2: Convert to fraction form
    8,115.84/12,172.64 = 3,498.24/x
  3. Step 3: Cross multiply
    8,115.84x = 12,172.64 × 3,498.24
  4. Step 4: Simplify right side
    8,115.84x = 42,582,816.15
  5. Step 5: Solve for x
    x = 42,582,816.15/8,115.84
  6. Step 6: Final answer
    x = 5,246.88

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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.