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Finding the Fourth Proportional to 7,839, 10,816.83 and 4,301.28

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Solution

The fourth proportional to 7,839, 10,816.83 and 4,301.28 is: 5,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839 : 10,816.83 = 4,301.28 : x
  2. Step 2: Convert to fraction form
    7,839/10,816.83 = 4,301.28/x
  3. Step 3: Cross multiply
    7,839x = 10,816.83 × 4,301.28
  4. Step 4: Simplify right side
    7,839x = 46,526,214.54
  5. Step 5: Solve for x
    x = 46,526,214.54/7,839
  6. Step 6: Final answer
    x = 5,935.22

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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.