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Finding the Fourth Proportional to 8,294.33, 11,450.57 and 6,401.84

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Solution

The fourth proportional to 8,294.33, 11,450.57 and 6,401.84 is: 8,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.33 : 11,450.57 = 6,401.84 : x
  2. Step 2: Convert to fraction form
    8,294.33/11,450.57 = 6,401.84/x
  3. Step 3: Cross multiply
    8,294.33x = 11,450.57 × 6,401.84
  4. Step 4: Simplify right side
    8,294.33x = 73,304,627.79
  5. Step 5: Solve for x
    x = 73,304,627.79/8,294.33
  6. Step 6: Final answer
    x = 8,837.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.