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Finding the Fourth Proportional to 7,856.28, 11,781.90 and 3,473.64

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Solution

The fourth proportional to 7,856.28, 11,781.90 and 3,473.64 is: 5,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.28 : 11,781.90 = 3,473.64 : x
  2. Step 2: Convert to fraction form
    7,856.28/11,781.90 = 3,473.64/x
  3. Step 3: Cross multiply
    7,856.28x = 11,781.90 × 3,473.64
  4. Step 4: Simplify right side
    7,856.28x = 40,926,079.12
  5. Step 5: Solve for x
    x = 40,926,079.12/7,856.28
  6. Step 6: Final answer
    x = 5,209.35

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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.