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Finding the Fourth Proportional to 11,834.38, 17,754 and 4,438.81

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Solution

The fourth proportional to 11,834.38, 17,754 and 4,438.81 is: 6,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.38 : 17,754 = 4,438.81 : x
  2. Step 2: Convert to fraction form
    11,834.38/17,754 = 4,438.81/x
  3. Step 3: Cross multiply
    11,834.38x = 17,754 × 4,438.81
  4. Step 4: Simplify right side
    11,834.38x = 78,806,632.74
  5. Step 5: Solve for x
    x = 78,806,632.74/11,834.38
  6. Step 6: Final answer
    x = 6,659.13

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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.