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Finding the Fourth Proportional to 11,083.42, 15,305.18 and 8,249.76

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Solution

The fourth proportional to 11,083.42, 15,305.18 and 8,249.76 is: 11,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.42 : 15,305.18 = 8,249.76 : x
  2. Step 2: Convert to fraction form
    11,083.42/15,305.18 = 8,249.76/x
  3. Step 3: Cross multiply
    11,083.42x = 15,305.18 × 8,249.76
  4. Step 4: Simplify right side
    11,083.42x = 126,264,061.76
  5. Step 5: Solve for x
    x = 126,264,061.76/11,083.42
  6. Step 6: Final answer
    x = 11,392.16

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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.