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Finding the Fourth Proportional to 8,306.10, 11,439.09 and 8,124.66

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Solution

The fourth proportional to 8,306.10, 11,439.09 and 8,124.66 is: 11,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.10 : 11,439.09 = 8,124.66 : x
  2. Step 2: Convert to fraction form
    8,306.10/11,439.09 = 8,124.66/x
  3. Step 3: Cross multiply
    8,306.10x = 11,439.09 × 8,124.66
  4. Step 4: Simplify right side
    8,306.10x = 92,938,716.96
  5. Step 5: Solve for x
    x = 92,938,716.96/8,306.10
  6. Step 6: Final answer
    x = 11,189.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.