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Finding the Fourth Proportional to 8,565.74, 12,843.10 and 3,634.05

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Solution

The fourth proportional to 8,565.74, 12,843.10 and 3,634.05 is: 5,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.74 : 12,843.10 = 3,634.05 : x
  2. Step 2: Convert to fraction form
    8,565.74/12,843.10 = 3,634.05/x
  3. Step 3: Cross multiply
    8,565.74x = 12,843.10 × 3,634.05
  4. Step 4: Simplify right side
    8,565.74x = 46,672,467.56
  5. Step 5: Solve for x
    x = 46,672,467.56/8,565.74
  6. Step 6: Final answer
    x = 5,448.74

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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.