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Finding the Fourth Proportional to 11,813.96, 17,727.72 and 4,423.52

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Solution

The fourth proportional to 11,813.96, 17,727.72 and 4,423.52 is: 6,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.96 : 17,727.72 = 4,423.52 : x
  2. Step 2: Convert to fraction form
    11,813.96/17,727.72 = 4,423.52/x
  3. Step 3: Cross multiply
    11,813.96x = 17,727.72 × 4,423.52
  4. Step 4: Simplify right side
    11,813.96x = 78,418,923.97
  5. Step 5: Solve for x
    x = 78,418,923.97/11,813.96
  6. Step 6: Final answer
    x = 6,637.82

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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.