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Finding the Fourth Proportional to 8,123.49, 12,186.32 and 2,280.15

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Solution

The fourth proportional to 8,123.49, 12,186.32 and 2,280.15 is: 3,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.49 : 12,186.32 = 2,280.15 : x
  2. Step 2: Convert to fraction form
    8,123.49/12,186.32 = 2,280.15/x
  3. Step 3: Cross multiply
    8,123.49x = 12,186.32 × 2,280.15
  4. Step 4: Simplify right side
    8,123.49x = 27,786,626.15
  5. Step 5: Solve for x
    x = 27,786,626.15/8,123.49
  6. Step 6: Final answer
    x = 3,420.53

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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.