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Finding the Fourth Proportional to 8,469.72, 11,689.31 and 5,114.43

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Solution

The fourth proportional to 8,469.72, 11,689.31 and 5,114.43 is: 7,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.72 : 11,689.31 = 5,114.43 : x
  2. Step 2: Convert to fraction form
    8,469.72/11,689.31 = 5,114.43/x
  3. Step 3: Cross multiply
    8,469.72x = 11,689.31 × 5,114.43
  4. Step 4: Simplify right side
    8,469.72x = 59,784,132.17
  5. Step 5: Solve for x
    x = 59,784,132.17/8,469.72
  6. Step 6: Final answer
    x = 7,058.57

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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.