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Finding the Fourth Proportional to 10,568.22, 14,584.11 and 6,091.94

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Solution

The fourth proportional to 10,568.22, 14,584.11 and 6,091.94 is: 8,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.22 : 14,584.11 = 6,091.94 : x
  2. Step 2: Convert to fraction form
    10,568.22/14,584.11 = 6,091.94/x
  3. Step 3: Cross multiply
    10,568.22x = 14,584.11 × 6,091.94
  4. Step 4: Simplify right side
    10,568.22x = 88,845,523.07
  5. Step 5: Solve for x
    x = 88,845,523.07/10,568.22
  6. Step 6: Final answer
    x = 8,406.86

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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.