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Finding the Fourth Proportional to 7,169.35, 10,749.84 and 2,781.69

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Solution

The fourth proportional to 7,169.35, 10,749.84 and 2,781.69 is: 4,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.35 : 10,749.84 = 2,781.69 : x
  2. Step 2: Convert to fraction form
    7,169.35/10,749.84 = 2,781.69/x
  3. Step 3: Cross multiply
    7,169.35x = 10,749.84 × 2,781.69
  4. Step 4: Simplify right side
    7,169.35x = 29,902,675.63
  5. Step 5: Solve for x
    x = 29,902,675.63/7,169.35
  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.