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Finding the Fourth Proportional to 6,821.32, 10,232.19 and 2,661.16

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Solution

The fourth proportional to 6,821.32, 10,232.19 and 2,661.16 is: 3,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.32 : 10,232.19 = 2,661.16 : x
  2. Step 2: Convert to fraction form
    6,821.32/10,232.19 = 2,661.16/x
  3. Step 3: Cross multiply
    6,821.32x = 10,232.19 × 2,661.16
  4. Step 4: Simplify right side
    6,821.32x = 27,229,494.74
  5. Step 5: Solve for x
    x = 27,229,494.74/6,821.32
  6. Step 6: Final answer
    x = 3,991.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.