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Finding the Fourth Proportional to 11,539, 15,923.89 and 6,761.76

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Solution

The fourth proportional to 11,539, 15,923.89 and 6,761.76 is: 9,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539 : 15,923.89 = 6,761.76 : x
  2. Step 2: Convert to fraction form
    11,539/15,923.89 = 6,761.76/x
  3. Step 3: Cross multiply
    11,539x = 15,923.89 × 6,761.76
  4. Step 4: Simplify right side
    11,539x = 107,673,522.45
  5. Step 5: Solve for x
    x = 107,673,522.45/11,539
  6. Step 6: Final answer
    x = 9,331.27

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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.