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Finding the Fourth Proportional to 7,521.56, 10,382.66 and 6,734.24

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Solution

The fourth proportional to 7,521.56, 10,382.66 and 6,734.24 is: 9,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521.56 : 10,382.66 = 6,734.24 : x
  2. Step 2: Convert to fraction form
    7,521.56/10,382.66 = 6,734.24/x
  3. Step 3: Cross multiply
    7,521.56x = 10,382.66 × 6,734.24
  4. Step 4: Simplify right side
    7,521.56x = 69,919,324.28
  5. Step 5: Solve for x
    x = 69,919,324.28/7,521.56
  6. Step 6: Final answer
    x = 9,295.85

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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.