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Finding the Fourth Proportional to 8,114.36, 11,197.98 and 4,759.74

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Solution

The fourth proportional to 8,114.36, 11,197.98 and 4,759.74 is: 6,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.36 : 11,197.98 = 4,759.74 : x
  2. Step 2: Convert to fraction form
    8,114.36/11,197.98 = 4,759.74/x
  3. Step 3: Cross multiply
    8,114.36x = 11,197.98 × 4,759.74
  4. Step 4: Simplify right side
    8,114.36x = 53,299,473.33
  5. Step 5: Solve for x
    x = 53,299,473.33/8,114.36
  6. Step 6: Final answer
    x = 6,568.54

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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.