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Finding the Fourth Proportional to 7,806, 11,708.88 and 2,541.24

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Solution

The fourth proportional to 7,806, 11,708.88 and 2,541.24 is: 3,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806 : 11,708.88 = 2,541.24 : x
  2. Step 2: Convert to fraction form
    7,806/11,708.88 = 2,541.24/x
  3. Step 3: Cross multiply
    7,806x = 11,708.88 × 2,541.24
  4. Step 4: Simplify right side
    7,806x = 29,755,074.21
  5. Step 5: Solve for x
    x = 29,755,074.21/7,806
  6. Step 6: Final answer
    x = 3,811.82

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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.