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Finding the Fourth Proportional to 8,253.76, 12,377.84 and 3,322.16

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Solution

The fourth proportional to 8,253.76, 12,377.84 and 3,322.16 is: 4,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.76 : 12,377.84 = 3,322.16 : x
  2. Step 2: Convert to fraction form
    8,253.76/12,377.84 = 3,322.16/x
  3. Step 3: Cross multiply
    8,253.76x = 12,377.84 × 3,322.16
  4. Step 4: Simplify right side
    8,253.76x = 41,121,164.93
  5. Step 5: Solve for x
    x = 41,121,164.93/8,253.76
  6. Step 6: Final answer
    x = 4,982.11

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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.