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Finding the Fourth Proportional to 11,433.74, 15,777.69 and 6,397.04

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Solution

The fourth proportional to 11,433.74, 15,777.69 and 6,397.04 is: 8,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.74 : 15,777.69 = 6,397.04 : x
  2. Step 2: Convert to fraction form
    11,433.74/15,777.69 = 6,397.04/x
  3. Step 3: Cross multiply
    11,433.74x = 15,777.69 × 6,397.04
  4. Step 4: Simplify right side
    11,433.74x = 100,930,435.15
  5. Step 5: Solve for x
    x = 100,930,435.15/11,433.74
  6. Step 6: Final answer
    x = 8,827.42

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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.