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Finding the Fourth Proportional to 11,591.37, 17,394.98 and 6,400.89

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Solution

The fourth proportional to 11,591.37, 17,394.98 and 6,400.89 is: 9,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.37 : 17,394.98 = 6,400.89 : x
  2. Step 2: Convert to fraction form
    11,591.37/17,394.98 = 6,400.89/x
  3. Step 3: Cross multiply
    11,591.37x = 17,394.98 × 6,400.89
  4. Step 4: Simplify right side
    11,591.37x = 111,343,321.53
  5. Step 5: Solve for x
    x = 111,343,321.53/11,591.37
  6. Step 6: Final answer
    x = 9,605.71

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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.