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Finding the Fourth Proportional to 11,341.57, 15,647.62 and 6,863.62

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Solution

The fourth proportional to 11,341.57, 15,647.62 and 6,863.62 is: 9,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.57 : 15,647.62 = 6,863.62 : x
  2. Step 2: Convert to fraction form
    11,341.57/15,647.62 = 6,863.62/x
  3. Step 3: Cross multiply
    11,341.57x = 15,647.62 × 6,863.62
  4. Step 4: Simplify right side
    11,341.57x = 107,399,317.58
  5. Step 5: Solve for x
    x = 107,399,317.58/11,341.57
  6. Step 6: Final answer
    x = 9,469.53

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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.