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Finding the Fourth Proportional to 11,452.18, 15,802.77 and 8,469.70

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Solution

The fourth proportional to 11,452.18, 15,802.77 and 8,469.70 is: 11,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.18 : 15,802.77 = 8,469.70 : x
  2. Step 2: Convert to fraction form
    11,452.18/15,802.77 = 8,469.70/x
  3. Step 3: Cross multiply
    11,452.18x = 15,802.77 × 8,469.70
  4. Step 4: Simplify right side
    11,452.18x = 133,844,721.07
  5. Step 5: Solve for x
    x = 133,844,721.07/11,452.18
  6. Step 6: Final answer
    x = 11,687.27

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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.