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Finding the Fourth Proportional to 11,493.46, 15,867.02 and 7,736.38

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Solution

The fourth proportional to 11,493.46, 15,867.02 and 7,736.38 is: 10,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.46 : 15,867.02 = 7,736.38 : x
  2. Step 2: Convert to fraction form
    11,493.46/15,867.02 = 7,736.38/x
  3. Step 3: Cross multiply
    11,493.46x = 15,867.02 × 7,736.38
  4. Step 4: Simplify right side
    11,493.46x = 122,753,296.19
  5. Step 5: Solve for x
    x = 122,753,296.19/11,493.46
  6. Step 6: Final answer
    x = 10,680.27

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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.