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Finding the Fourth Proportional to 8,197.72, 12,301.50 and 2,932.31

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Solution

The fourth proportional to 8,197.72, 12,301.50 and 2,932.31 is: 4,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.72 : 12,301.50 = 2,932.31 : x
  2. Step 2: Convert to fraction form
    8,197.72/12,301.50 = 2,932.31/x
  3. Step 3: Cross multiply
    8,197.72x = 12,301.50 × 2,932.31
  4. Step 4: Simplify right side
    8,197.72x = 36,071,811.47
  5. Step 5: Solve for x
    x = 36,071,811.47/8,197.72
  6. Step 6: Final answer
    x = 4,400.22

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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.