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Finding the Fourth Proportional to 11,251.74, 16,864.74 and 6,859.44

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Solution

The fourth proportional to 11,251.74, 16,864.74 and 6,859.44 is: 10,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.74 : 16,864.74 = 6,859.44 : x
  2. Step 2: Convert to fraction form
    11,251.74/16,864.74 = 6,859.44/x
  3. Step 3: Cross multiply
    11,251.74x = 16,864.74 × 6,859.44
  4. Step 4: Simplify right side
    11,251.74x = 115,682,672.15
  5. Step 5: Solve for x
    x = 115,682,672.15/11,251.74
  6. Step 6: Final answer
    x = 10,281.31

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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.