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Finding the Fourth Proportional to 11,863.72, 17,794.98 and 3,543.82

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Solution

The fourth proportional to 11,863.72, 17,794.98 and 3,543.82 is: 5,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.72 : 17,794.98 = 3,543.82 : x
  2. Step 2: Convert to fraction form
    11,863.72/17,794.98 = 3,543.82/x
  3. Step 3: Cross multiply
    11,863.72x = 17,794.98 × 3,543.82
  4. Step 4: Simplify right side
    11,863.72x = 63,062,206.02
  5. Step 5: Solve for x
    x = 63,062,206.02/11,863.72
  6. Step 6: Final answer
    x = 5,315.55

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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.