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Finding the Fourth Proportional to 8,113.44, 12,165.49 and 3,177.30

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Solution

The fourth proportional to 8,113.44, 12,165.49 and 3,177.30 is: 4,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.44 : 12,165.49 = 3,177.30 : x
  2. Step 2: Convert to fraction form
    8,113.44/12,165.49 = 3,177.30/x
  3. Step 3: Cross multiply
    8,113.44x = 12,165.49 × 3,177.30
  4. Step 4: Simplify right side
    8,113.44x = 38,653,411.38
  5. Step 5: Solve for x
    x = 38,653,411.38/8,113.44
  6. Step 6: Final answer
    x = 4,764.12

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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.