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Finding the Fourth Proportional to 8,361.23, 11,538.60 and 4,584.38

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Solution

The fourth proportional to 8,361.23, 11,538.60 and 4,584.38 is: 6,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.23 : 11,538.60 = 4,584.38 : x
  2. Step 2: Convert to fraction form
    8,361.23/11,538.60 = 4,584.38/x
  3. Step 3: Cross multiply
    8,361.23x = 11,538.60 × 4,584.38
  4. Step 4: Simplify right side
    8,361.23x = 52,897,317.09
  5. Step 5: Solve for x
    x = 52,897,317.09/8,361.23
  6. Step 6: Final answer
    x = 6,326.50

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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.