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Finding the Fourth Proportional to 6,902.41, 10,321.81 and 5,126.82

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Solution

The fourth proportional to 6,902.41, 10,321.81 and 5,126.82 is: 7,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.41 : 10,321.81 = 5,126.82 : x
  2. Step 2: Convert to fraction form
    6,902.41/10,321.81 = 5,126.82/x
  3. Step 3: Cross multiply
    6,902.41x = 10,321.81 × 5,126.82
  4. Step 4: Simplify right side
    6,902.41x = 52,918,061.94
  5. Step 5: Solve for x
    x = 52,918,061.94/6,902.41
  6. Step 6: Final answer
    x = 7,666.61

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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.