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Finding the Fourth Proportional to 8,565.12, 12,843.04 and 3,944

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Solution

The fourth proportional to 8,565.12, 12,843.04 and 3,944 is: 5,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.12 : 12,843.04 = 3,944 : x
  2. Step 2: Convert to fraction form
    8,565.12/12,843.04 = 3,944/x
  3. Step 3: Cross multiply
    8,565.12x = 12,843.04 × 3,944
  4. Step 4: Simplify right side
    8,565.12x = 50,652,949.76
  5. Step 5: Solve for x
    x = 50,652,949.76/8,565.12
  6. Step 6: Final answer
    x = 5,913.86

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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.