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Finding the Fourth Proportional to 11,744.48, 17,589.84 and 5,902.76

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Solution

The fourth proportional to 11,744.48, 17,589.84 and 5,902.76 is: 8,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.48 : 17,589.84 = 5,902.76 : x
  2. Step 2: Convert to fraction form
    11,744.48/17,589.84 = 5,902.76/x
  3. Step 3: Cross multiply
    11,744.48x = 17,589.84 × 5,902.76
  4. Step 4: Simplify right side
    11,744.48x = 103,828,603.96
  5. Step 5: Solve for x
    x = 103,828,603.96/11,744.48
  6. Step 6: Final answer
    x = 8,840.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.