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Finding the Fourth Proportional to 7,806, 11,707.57 and 2,257.98

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Solution

The fourth proportional to 7,806, 11,707.57 and 2,257.98 is: 3,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806 : 11,707.57 = 2,257.98 : x
  2. Step 2: Convert to fraction form
    7,806/11,707.57 = 2,257.98/x
  3. Step 3: Cross multiply
    7,806x = 11,707.57 × 2,257.98
  4. Step 4: Simplify right side
    7,806x = 26,435,458.91
  5. Step 5: Solve for x
    x = 26,435,458.91/7,806
  6. Step 6: Final answer
    x = 3,386.56

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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.