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Finding the Fourth Proportional to 8,265.42, 12,398.04 and 3,334.97

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Solution

The fourth proportional to 8,265.42, 12,398.04 and 3,334.97 is: 5,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.42 : 12,398.04 = 3,334.97 : x
  2. Step 2: Convert to fraction form
    8,265.42/12,398.04 = 3,334.97/x
  3. Step 3: Cross multiply
    8,265.42x = 12,398.04 × 3,334.97
  4. Step 4: Simplify right side
    8,265.42x = 41,347,113.07
  5. Step 5: Solve for x
    x = 41,347,113.07/8,265.42
  6. Step 6: Final answer
    x = 5,002.42

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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.