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Finding the Fourth Proportional to 11,436.24, 15,782.44 and 6,400.44

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Solution

The fourth proportional to 11,436.24, 15,782.44 and 6,400.44 is: 8,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.24 : 15,782.44 = 6,400.44 : x
  2. Step 2: Convert to fraction form
    11,436.24/15,782.44 = 6,400.44/x
  3. Step 3: Cross multiply
    11,436.24x = 15,782.44 × 6,400.44
  4. Step 4: Simplify right side
    11,436.24x = 101,014,560.27
  5. Step 5: Solve for x
    x = 101,014,560.27/11,436.24
  6. Step 6: Final answer
    x = 8,832.85

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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.