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Finding the Fourth Proportional to 8,196.64, 12,296.04 and 3,002.56

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Solution

The fourth proportional to 8,196.64, 12,296.04 and 3,002.56 is: 4,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.64 : 12,296.04 = 3,002.56 : x
  2. Step 2: Convert to fraction form
    8,196.64/12,296.04 = 3,002.56/x
  3. Step 3: Cross multiply
    8,196.64x = 12,296.04 × 3,002.56
  4. Step 4: Simplify right side
    8,196.64x = 36,919,597.86
  5. Step 5: Solve for x
    x = 36,919,597.86/8,196.64
  6. Step 6: Final answer
    x = 4,504.24

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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.