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Finding the Fourth Proportional to 7,795.92, 11,686.92 and 2,864.42

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Solution

The fourth proportional to 7,795.92, 11,686.92 and 2,864.42 is: 4,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.92 : 11,686.92 = 2,864.42 : x
  2. Step 2: Convert to fraction form
    7,795.92/11,686.92 = 2,864.42/x
  3. Step 3: Cross multiply
    7,795.92x = 11,686.92 × 2,864.42
  4. Step 4: Simplify right side
    7,795.92x = 33,476,247.39
  5. Step 5: Solve for x
    x = 33,476,247.39/7,795.92
  6. Step 6: Final answer
    x = 4,294.07

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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.