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Finding the Fourth Proportional to 7,169.34, 10,749.90 and 2,781.66

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Solution

The fourth proportional to 7,169.34, 10,749.90 and 2,781.66 is: 4,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.34 : 10,749.90 = 2,781.66 : x
  2. Step 2: Convert to fraction form
    7,169.34/10,749.90 = 2,781.66/x
  3. Step 3: Cross multiply
    7,169.34x = 10,749.90 × 2,781.66
  4. Step 4: Simplify right side
    7,169.34x = 29,902,566.83
  5. Step 5: Solve for x
    x = 29,902,566.83/7,169.34
  6. Step 6: Final answer
    x = 4,170.90

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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.