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Finding the Fourth Proportional to 8,361.43, 11,538.91 and 4,584.95

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Solution

The fourth proportional to 8,361.43, 11,538.91 and 4,584.95 is: 6,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.43 : 11,538.91 = 4,584.95 : x
  2. Step 2: Convert to fraction form
    8,361.43/11,538.91 = 4,584.95/x
  3. Step 3: Cross multiply
    8,361.43x = 11,538.91 × 4,584.95
  4. Step 4: Simplify right side
    8,361.43x = 52,905,355.83
  5. Step 5: Solve for x
    x = 52,905,355.83/8,361.43
  6. Step 6: Final answer
    x = 6,327.31

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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.