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Finding the Fourth Proportional to 8,188.64, 12,282.26 and 3,256.96

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Solution

The fourth proportional to 8,188.64, 12,282.26 and 3,256.96 is: 4,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.64 : 12,282.26 = 3,256.96 : x
  2. Step 2: Convert to fraction form
    8,188.64/12,282.26 = 3,256.96/x
  3. Step 3: Cross multiply
    8,188.64x = 12,282.26 × 3,256.96
  4. Step 4: Simplify right side
    8,188.64x = 40,002,829.53
  5. Step 5: Solve for x
    x = 40,002,829.53/8,188.64
  6. Step 6: Final answer
    x = 4,885.16

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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.