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Finding the Fourth Proportional to 8,249.77, 11,381.70 and 5,418.68

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Solution

The fourth proportional to 8,249.77, 11,381.70 and 5,418.68 is: 7,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.77 : 11,381.70 = 5,418.68 : x
  2. Step 2: Convert to fraction form
    8,249.77/11,381.70 = 5,418.68/x
  3. Step 3: Cross multiply
    8,249.77x = 11,381.70 × 5,418.68
  4. Step 4: Simplify right side
    8,249.77x = 61,673,787.11
  5. Step 5: Solve for x
    x = 61,673,787.11/8,249.77
  6. Step 6: Final answer
    x = 7,475.82

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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.