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Finding the Fourth Proportional to 8,143.32, 12,214.12 and 5,527.64

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Solution

The fourth proportional to 8,143.32, 12,214.12 and 5,527.64 is: 8,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.32 : 12,214.12 = 5,527.64 : x
  2. Step 2: Convert to fraction form
    8,143.32/12,214.12 = 5,527.64/x
  3. Step 3: Cross multiply
    8,143.32x = 12,214.12 × 5,527.64
  4. Step 4: Simplify right side
    8,143.32x = 67,515,258.28
  5. Step 5: Solve for x
    x = 67,515,258.28/8,143.32
  6. Step 6: Final answer
    x = 8,290.88

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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.