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Finding the Fourth Proportional to 11,890.14, 17,840.07 and 6,349.74

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Solution

The fourth proportional to 11,890.14, 17,840.07 and 6,349.74 is: 9,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.14 : 17,840.07 = 6,349.74 : x
  2. Step 2: Convert to fraction form
    11,890.14/17,840.07 = 6,349.74/x
  3. Step 3: Cross multiply
    11,890.14x = 17,840.07 × 6,349.74
  4. Step 4: Simplify right side
    11,890.14x = 113,279,806.08
  5. Step 5: Solve for x
    x = 113,279,806.08/11,890.14
  6. Step 6: Final answer
    x = 9,527.21

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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.