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Finding the Fourth Proportional to 11,539, 15,923.82 and 6,571.96

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Solution

The fourth proportional to 11,539, 15,923.82 and 6,571.96 is: 9,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539 : 15,923.82 = 6,571.96 : x
  2. Step 2: Convert to fraction form
    11,539/15,923.82 = 6,571.96/x
  3. Step 3: Cross multiply
    11,539x = 15,923.82 × 6,571.96
  4. Step 4: Simplify right side
    11,539x = 104,650,708.09
  5. Step 5: Solve for x
    x = 104,650,708.09/11,539
  6. Step 6: Final answer
    x = 9,069.30

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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.