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Finding the Fourth Proportional to 11,571.01, 15,968 and 6,265.83

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Solution

The fourth proportional to 11,571.01, 15,968 and 6,265.83 is: 8,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.01 : 15,968 = 6,265.83 : x
  2. Step 2: Convert to fraction form
    11,571.01/15,968 = 6,265.83/x
  3. Step 3: Cross multiply
    11,571.01x = 15,968 × 6,265.83
  4. Step 4: Simplify right side
    11,571.01x = 100,052,773.44
  5. Step 5: Solve for x
    x = 100,052,773.44/11,571.01
  6. Step 6: Final answer
    x = 8,646.85

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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.