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Finding the Fourth Proportional to 8,111.34, 12,158.10 and 3,180.06

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Solution

The fourth proportional to 8,111.34, 12,158.10 and 3,180.06 is: 4,766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.34 : 12,158.10 = 3,180.06 : x
  2. Step 2: Convert to fraction form
    8,111.34/12,158.10 = 3,180.06/x
  3. Step 3: Cross multiply
    8,111.34x = 12,158.10 × 3,180.06
  4. Step 4: Simplify right side
    8,111.34x = 38,663,487.49
  5. Step 5: Solve for x
    x = 38,663,487.49/8,111.34
  6. Step 6: Final answer
    x = 4,766.60

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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.