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Finding the Fourth Proportional to 7,806.66, 11,709.87 and 1,963.27

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Solution

The fourth proportional to 7,806.66, 11,709.87 and 1,963.27 is: 2,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.66 : 11,709.87 = 1,963.27 : x
  2. Step 2: Convert to fraction form
    7,806.66/11,709.87 = 1,963.27/x
  3. Step 3: Cross multiply
    7,806.66x = 11,709.87 × 1,963.27
  4. Step 4: Simplify right side
    7,806.66x = 22,989,636.47
  5. Step 5: Solve for x
    x = 22,989,636.47/7,806.66
  6. Step 6: Final answer
    x = 2,944.87

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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.