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Finding the Fourth Proportional to 8,244.36, 11,361.80 and 5,882.40

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Solution

The fourth proportional to 8,244.36, 11,361.80 and 5,882.40 is: 8,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.36 : 11,361.80 = 5,882.40 : x
  2. Step 2: Convert to fraction form
    8,244.36/11,361.80 = 5,882.40/x
  3. Step 3: Cross multiply
    8,244.36x = 11,361.80 × 5,882.40
  4. Step 4: Simplify right side
    8,244.36x = 66,834,652.32
  5. Step 5: Solve for x
    x = 66,834,652.32/8,244.36
  6. Step 6: Final answer
    x = 8,106.71

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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.