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Finding the Fourth Proportional to 7,834.17, 11,754.84 and 3,393.19

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Solution

The fourth proportional to 7,834.17, 11,754.84 and 3,393.19 is: 5,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.17 : 11,754.84 = 3,393.19 : x
  2. Step 2: Convert to fraction form
    7,834.17/11,754.84 = 3,393.19/x
  3. Step 3: Cross multiply
    7,834.17x = 11,754.84 × 3,393.19
  4. Step 4: Simplify right side
    7,834.17x = 39,886,376.69
  5. Step 5: Solve for x
    x = 39,886,376.69/7,834.17
  6. Step 6: Final answer
    x = 5,091.34

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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.