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Finding the Fourth Proportional to 8,231.15, 12,332.35 and 6,853.35

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Solution

The fourth proportional to 8,231.15, 12,332.35 and 6,853.35 is: 10,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.15 : 12,332.35 = 6,853.35 : x
  2. Step 2: Convert to fraction form
    8,231.15/12,332.35 = 6,853.35/x
  3. Step 3: Cross multiply
    8,231.15x = 12,332.35 × 6,853.35
  4. Step 4: Simplify right side
    8,231.15x = 84,517,832.08
  5. Step 5: Solve for x
    x = 84,517,832.08/8,231.15
  6. Step 6: Final answer
    x = 10,268.05

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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.