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Finding the Fourth Proportional to 11,552.97, 15,942.72 and 6,517.32

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Solution

The fourth proportional to 11,552.97, 15,942.72 and 6,517.32 is: 8,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.97 : 15,942.72 = 6,517.32 : x
  2. Step 2: Convert to fraction form
    11,552.97/15,942.72 = 6,517.32/x
  3. Step 3: Cross multiply
    11,552.97x = 15,942.72 × 6,517.32
  4. Step 4: Simplify right side
    11,552.97x = 103,903,807.91
  5. Step 5: Solve for x
    x = 103,903,807.91/11,552.97
  6. Step 6: Final answer
    x = 8,993.69

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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.