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Finding the Fourth Proportional to 7,837.82, 10,816.16 and 4,301.02

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Solution

The fourth proportional to 7,837.82, 10,816.16 and 4,301.02 is: 5,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.82 : 10,816.16 = 4,301.02 : x
  2. Step 2: Convert to fraction form
    7,837.82/10,816.16 = 4,301.02/x
  3. Step 3: Cross multiply
    7,837.82x = 10,816.16 × 4,301.02
  4. Step 4: Simplify right side
    7,837.82x = 46,520,471.94
  5. Step 5: Solve for x
    x = 46,520,471.94/7,837.82
  6. Step 6: Final answer
    x = 5,935.39

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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.