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Finding the Fourth Proportional to 10,932.72, 16,400.16 and 3,142.68

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Solution

The fourth proportional to 10,932.72, 16,400.16 and 3,142.68 is: 4,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.72 : 16,400.16 = 3,142.68 : x
  2. Step 2: Convert to fraction form
    10,932.72/16,400.16 = 3,142.68/x
  3. Step 3: Cross multiply
    10,932.72x = 16,400.16 × 3,142.68
  4. Step 4: Simplify right side
    10,932.72x = 51,540,454.83
  5. Step 5: Solve for x
    x = 51,540,454.83/10,932.72
  6. Step 6: Final answer
    x = 4,714.33

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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.