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Finding the Fourth Proportional to 6,763.42, 10,138.92 and 2,602.18

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Solution

The fourth proportional to 6,763.42, 10,138.92 and 2,602.18 is: 3,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.42 : 10,138.92 = 2,602.18 : x
  2. Step 2: Convert to fraction form
    6,763.42/10,138.92 = 2,602.18/x
  3. Step 3: Cross multiply
    6,763.42x = 10,138.92 × 2,602.18
  4. Step 4: Simplify right side
    6,763.42x = 26,383,294.85
  5. Step 5: Solve for x
    x = 26,383,294.85/6,763.42
  6. Step 6: Final answer
    x = 3,900.88

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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.