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Finding the Fourth Proportional to 7,909.77, 11,863.41 and 2,644.74

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Solution

The fourth proportional to 7,909.77, 11,863.41 and 2,644.74 is: 3,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.77 : 11,863.41 = 2,644.74 : x
  2. Step 2: Convert to fraction form
    7,909.77/11,863.41 = 2,644.74/x
  3. Step 3: Cross multiply
    7,909.77x = 11,863.41 × 2,644.74
  4. Step 4: Simplify right side
    7,909.77x = 31,375,634.96
  5. Step 5: Solve for x
    x = 31,375,634.96/7,909.77
  6. Step 6: Final answer
    x = 3,966.69

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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.