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Finding the Fourth Proportional to 7,934.30, 11,899.92 and 5,834.78

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Solution

The fourth proportional to 7,934.30, 11,899.92 and 5,834.78 is: 8,751.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.30 : 11,899.92 = 5,834.78 : x
  2. Step 2: Convert to fraction form
    7,934.30/11,899.92 = 5,834.78/x
  3. Step 3: Cross multiply
    7,934.30x = 11,899.92 × 5,834.78
  4. Step 4: Simplify right side
    7,934.30x = 69,433,415.22
  5. Step 5: Solve for x
    x = 69,433,415.22/7,934.30
  6. Step 6: Final answer
    x = 8,751.04

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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.