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Finding the Fourth Proportional to 11,436.52, 15,782.24 and 6,400.68

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Solution

The fourth proportional to 11,436.52, 15,782.24 and 6,400.68 is: 8,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.52 : 15,782.24 = 6,400.68 : x
  2. Step 2: Convert to fraction form
    11,436.52/15,782.24 = 6,400.68/x
  3. Step 3: Cross multiply
    11,436.52x = 15,782.24 × 6,400.68
  4. Step 4: Simplify right side
    11,436.52x = 101,017,067.92
  5. Step 5: Solve for x
    x = 101,017,067.92/11,436.52
  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.