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Finding the Fourth Proportional to 11,593.41, 17,382.83 and 4,197.71

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Solution

The fourth proportional to 11,593.41, 17,382.83 and 4,197.71 is: 6,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.41 : 17,382.83 = 4,197.71 : x
  2. Step 2: Convert to fraction form
    11,593.41/17,382.83 = 4,197.71/x
  3. Step 3: Cross multiply
    11,593.41x = 17,382.83 × 4,197.71
  4. Step 4: Simplify right side
    11,593.41x = 72,967,971.42
  5. Step 5: Solve for x
    x = 72,967,971.42/11,593.41
  6. Step 6: Final answer
    x = 6,293.92

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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.