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Finding the Fourth Proportional to 6,361.56, 8,785.32 and 4,377.12

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Solution

The fourth proportional to 6,361.56, 8,785.32 and 4,377.12 is: 6,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.56 : 8,785.32 = 4,377.12 : x
  2. Step 2: Convert to fraction form
    6,361.56/8,785.32 = 4,377.12/x
  3. Step 3: Cross multiply
    6,361.56x = 8,785.32 × 4,377.12
  4. Step 4: Simplify right side
    6,361.56x = 38,454,399.88
  5. Step 5: Solve for x
    x = 38,454,399.88/6,361.56
  6. Step 6: Final answer
    x = 6,044.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.