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Finding the Fourth Proportional to 10,755.92, 16,127.16 and 4,514.24

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Solution

The fourth proportional to 10,755.92, 16,127.16 and 4,514.24 is: 6,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.92 : 16,127.16 = 4,514.24 : x
  2. Step 2: Convert to fraction form
    10,755.92/16,127.16 = 4,514.24/x
  3. Step 3: Cross multiply
    10,755.92x = 16,127.16 × 4,514.24
  4. Step 4: Simplify right side
    10,755.92x = 72,801,870.76
  5. Step 5: Solve for x
    x = 72,801,870.76/10,755.92
  6. Step 6: Final answer
    x = 6,768.54

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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.