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Finding the Fourth Proportional to 8,116.44, 12,175.00 and 3,187.14

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Solution

The fourth proportional to 8,116.44, 12,175.00 and 3,187.14 is: 4,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.44 : 12,175.00 = 3,187.14 : x
  2. Step 2: Convert to fraction form
    8,116.44/12,175.00 = 3,187.14/x
  3. Step 3: Cross multiply
    8,116.44x = 12,175.00 × 3,187.14
  4. Step 4: Simplify right side
    8,116.44x = 38,803,479.14
  5. Step 5: Solve for x
    x = 38,803,479.14/8,116.44
  6. Step 6: Final answer
    x = 4,780.85

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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.