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Finding the Fourth Proportional to 8,165, 11,268.66 and 4,853

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Solution

The fourth proportional to 8,165, 11,268.66 and 4,853 is: 6,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165 : 11,268.66 = 4,853 : x
  2. Step 2: Convert to fraction form
    8,165/11,268.66 = 4,853/x
  3. Step 3: Cross multiply
    8,165x = 11,268.66 × 4,853
  4. Step 4: Simplify right side
    8,165x = 54,686,806.98
  5. Step 5: Solve for x
    x = 54,686,806.98/8,165
  6. Step 6: Final answer
    x = 6,697.71

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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.