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Finding the Fourth Proportional to 7,889.76, 11,834.62 and 2,046.37

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Solution

The fourth proportional to 7,889.76, 11,834.62 and 2,046.37 is: 3,069.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.76 : 11,834.62 = 2,046.37 : x
  2. Step 2: Convert to fraction form
    7,889.76/11,834.62 = 2,046.37/x
  3. Step 3: Cross multiply
    7,889.76x = 11,834.62 × 2,046.37
  4. Step 4: Simplify right side
    7,889.76x = 24,218,011.33
  5. Step 5: Solve for x
    x = 24,218,011.33/7,889.76
  6. Step 6: Final answer
    x = 3,069.55

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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.