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Finding the Fourth Proportional to 8,218.32, 12,329.64 and 7,168.56

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Solution

The fourth proportional to 8,218.32, 12,329.64 and 7,168.56 is: 10,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.32 : 12,329.64 = 7,168.56 : x
  2. Step 2: Convert to fraction form
    8,218.32/12,329.64 = 7,168.56/x
  3. Step 3: Cross multiply
    8,218.32x = 12,329.64 × 7,168.56
  4. Step 4: Simplify right side
    8,218.32x = 88,385,764.12
  5. Step 5: Solve for x
    x = 88,385,764.12/8,218.32
  6. Step 6: Final answer
    x = 10,754.72

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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.