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Finding the Fourth Proportional to 11,398.64, 17,074.02 and 7,236.52

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Solution

The fourth proportional to 11,398.64, 17,074.02 and 7,236.52 is: 10,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.64 : 17,074.02 = 7,236.52 : x
  2. Step 2: Convert to fraction form
    11,398.64/17,074.02 = 7,236.52/x
  3. Step 3: Cross multiply
    11,398.64x = 17,074.02 × 7,236.52
  4. Step 4: Simplify right side
    11,398.64x = 123,556,487.21
  5. Step 5: Solve for x
    x = 123,556,487.21/11,398.64
  6. Step 6: Final answer
    x = 10,839.58

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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.