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Finding the Fourth Proportional to 11,263, 15,540.24 and 6,546.36

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Solution

The fourth proportional to 11,263, 15,540.24 and 6,546.36 is: 9,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,263 : 15,540.24 = 6,546.36 : x
  2. Step 2: Convert to fraction form
    11,263/15,540.24 = 6,546.36/x
  3. Step 3: Cross multiply
    11,263x = 15,540.24 × 6,546.36
  4. Step 4: Simplify right side
    11,263x = 101,732,005.53
  5. Step 5: Solve for x
    x = 101,732,005.53/11,263
  6. Step 6: Final answer
    x = 9,032.41

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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.