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Finding the Fourth Proportional to 8,231.02, 12,332.16 and 6,853.22

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Solution

The fourth proportional to 8,231.02, 12,332.16 and 6,853.22 is: 10,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.02 : 12,332.16 = 6,853.22 : x
  2. Step 2: Convert to fraction form
    8,231.02/12,332.16 = 6,853.22/x
  3. Step 3: Cross multiply
    8,231.02x = 12,332.16 × 6,853.22
  4. Step 4: Simplify right side
    8,231.02x = 84,515,005.56
  5. Step 5: Solve for x
    x = 84,515,005.56/8,231.02
  6. Step 6: Final answer
    x = 10,267.87

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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.