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Finding the Fourth Proportional to 7,837.92, 10,816.40 and 4,301.26

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Solution

The fourth proportional to 7,837.92, 10,816.40 and 4,301.26 is: 5,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.92 : 10,816.40 = 4,301.26 : x
  2. Step 2: Convert to fraction form
    7,837.92/10,816.40 = 4,301.26/x
  3. Step 3: Cross multiply
    7,837.92x = 10,816.40 × 4,301.26
  4. Step 4: Simplify right side
    7,837.92x = 46,524,132.38
  5. Step 5: Solve for x
    x = 46,524,132.38/7,837.92
  6. Step 6: Final answer
    x = 5,935.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.