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Finding the Fourth Proportional to 11,777.16, 17,657.24 and 5,937.88

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Solution

The fourth proportional to 11,777.16, 17,657.24 and 5,937.88 is: 8,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.16 : 17,657.24 = 5,937.88 : x
  2. Step 2: Convert to fraction form
    11,777.16/17,657.24 = 5,937.88/x
  3. Step 3: Cross multiply
    11,777.16x = 17,657.24 × 5,937.88
  4. Step 4: Simplify right side
    11,777.16x = 104,846,572.25
  5. Step 5: Solve for x
    x = 104,846,572.25/11,777.16
  6. Step 6: Final answer
    x = 8,902.53

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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.