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Finding the Fourth Proportional to 11,616.24, 16,029.46 and 6,835.42

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Solution

The fourth proportional to 11,616.24, 16,029.46 and 6,835.42 is: 9,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.24 : 16,029.46 = 6,835.42 : x
  2. Step 2: Convert to fraction form
    11,616.24/16,029.46 = 6,835.42/x
  3. Step 3: Cross multiply
    11,616.24x = 16,029.46 × 6,835.42
  4. Step 4: Simplify right side
    11,616.24x = 109,568,091.47
  5. Step 5: Solve for x
    x = 109,568,091.47/11,616.24
  6. Step 6: Final answer
    x = 9,432.32

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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.