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Finding the Fourth Proportional to 7,908.65, 11,868.50 and 5,834.03

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Solution

The fourth proportional to 7,908.65, 11,868.50 and 5,834.03 is: 8,755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908.65 : 11,868.50 = 5,834.03 : x
  2. Step 2: Convert to fraction form
    7,908.65/11,868.50 = 5,834.03/x
  3. Step 3: Cross multiply
    7,908.65x = 11,868.50 × 5,834.03
  4. Step 4: Simplify right side
    7,908.65x = 69,241,229.31
  5. Step 5: Solve for x
    x = 69,241,229.31/7,908.65
  6. Step 6: Final answer
    x = 8,755.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.