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Finding the Fourth Proportional to 11,593.40, 17,391.18 and 4,199.72

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Solution

The fourth proportional to 11,593.40, 17,391.18 and 4,199.72 is: 6,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.40 : 17,391.18 = 4,199.72 : x
  2. Step 2: Convert to fraction form
    11,593.40/17,391.18 = 4,199.72/x
  3. Step 3: Cross multiply
    11,593.40x = 17,391.18 × 4,199.72
  4. Step 4: Simplify right side
    11,593.40x = 73,038,086.47
  5. Step 5: Solve for x
    x = 73,038,086.47/11,593.40
  6. Step 6: Final answer
    x = 6,299.97

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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.