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Finding the Fourth Proportional to 11,591.40, 17,387.11 and 4,194.12

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Solution

The fourth proportional to 11,591.40, 17,387.11 and 4,194.12 is: 6,291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.40 : 17,387.11 = 4,194.12 : x
  2. Step 2: Convert to fraction form
    11,591.40/17,387.11 = 4,194.12/x
  3. Step 3: Cross multiply
    11,591.40x = 17,387.11 × 4,194.12
  4. Step 4: Simplify right side
    11,591.40x = 72,923,688.37
  5. Step 5: Solve for x
    x = 72,923,688.37/11,591.40
  6. Step 6: Final answer
    x = 6,291.19

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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.