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Finding the Fourth Proportional to 11,042.46, 15,218.11 and 8,205.34

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Solution

The fourth proportional to 11,042.46, 15,218.11 and 8,205.34 is: 11,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.46 : 15,218.11 = 8,205.34 : x
  2. Step 2: Convert to fraction form
    11,042.46/15,218.11 = 8,205.34/x
  3. Step 3: Cross multiply
    11,042.46x = 15,218.11 × 8,205.34
  4. Step 4: Simplify right side
    11,042.46x = 124,869,766.71
  5. Step 5: Solve for x
    x = 124,869,766.71/11,042.46
  6. Step 6: Final answer
    x = 11,308.15

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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.