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Finding the Fourth Proportional to 10,536, 15,799.42 and 5,268.97

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Solution

The fourth proportional to 10,536, 15,799.42 and 5,268.97 is: 7,901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536 : 15,799.42 = 5,268.97 : x
  2. Step 2: Convert to fraction form
    10,536/15,799.42 = 5,268.97/x
  3. Step 3: Cross multiply
    10,536x = 15,799.42 × 5,268.97
  4. Step 4: Simplify right side
    10,536x = 83,246,670.00
  5. Step 5: Solve for x
    x = 83,246,670.00/10,536
  6. Step 6: Final answer
    x = 7,901.16

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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.