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Finding the Fourth Proportional to 11,436.86, 17,151.65 and 5,889.48

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Solution

The fourth proportional to 11,436.86, 17,151.65 and 5,889.48 is: 8,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.86 : 17,151.65 = 5,889.48 : x
  2. Step 2: Convert to fraction form
    11,436.86/17,151.65 = 5,889.48/x
  3. Step 3: Cross multiply
    11,436.86x = 17,151.65 × 5,889.48
  4. Step 4: Simplify right side
    11,436.86x = 101,014,227.96
  5. Step 5: Solve for x
    x = 101,014,227.96/11,436.86
  6. Step 6: Final answer
    x = 8,832.34

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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.