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Finding the Fourth Proportional to 8,361.54, 11,538.39 and 4,584.66

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Solution

The fourth proportional to 8,361.54, 11,538.39 and 4,584.66 is: 6,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.54 : 11,538.39 = 4,584.66 : x
  2. Step 2: Convert to fraction form
    8,361.54/11,538.39 = 4,584.66/x
  3. Step 3: Cross multiply
    8,361.54x = 11,538.39 × 4,584.66
  4. Step 4: Simplify right side
    8,361.54x = 52,899,595.10
  5. Step 5: Solve for x
    x = 52,899,595.10/8,361.54
  6. Step 6: Final answer
    x = 6,326.54

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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.