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Finding the Fourth Proportional to 8,144.32, 12,215.62 and 5,528.64

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Solution

The fourth proportional to 8,144.32, 12,215.62 and 5,528.64 is: 8,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.32 : 12,215.62 = 5,528.64 : x
  2. Step 2: Convert to fraction form
    8,144.32/12,215.62 = 5,528.64/x
  3. Step 3: Cross multiply
    8,144.32x = 12,215.62 × 5,528.64
  4. Step 4: Simplify right side
    8,144.32x = 67,535,765.36
  5. Step 5: Solve for x
    x = 67,535,765.36/8,144.32
  6. Step 6: Final answer
    x = 8,292.38

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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.