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Finding the Fourth Proportional to 8,171.45, 11,198.06 and 7,384.13

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Solution

The fourth proportional to 8,171.45, 11,198.06 and 7,384.13 is: 10,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.45 : 11,198.06 = 7,384.13 : x
  2. Step 2: Convert to fraction form
    8,171.45/11,198.06 = 7,384.13/x
  3. Step 3: Cross multiply
    8,171.45x = 11,198.06 × 7,384.13
  4. Step 4: Simplify right side
    8,171.45x = 82,687,886.79
  5. Step 5: Solve for x
    x = 82,687,886.79/8,171.45
  6. Step 6: Final answer
    x = 10,119.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.