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Finding the Fourth Proportional to 11,548.38, 15,936.54 and 6,512.51

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Solution

The fourth proportional to 11,548.38, 15,936.54 and 6,512.51 is: 8,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.38 : 15,936.54 = 6,512.51 : x
  2. Step 2: Convert to fraction form
    11,548.38/15,936.54 = 6,512.51/x
  3. Step 3: Cross multiply
    11,548.38x = 15,936.54 × 6,512.51
  4. Step 4: Simplify right side
    11,548.38x = 103,786,836.27
  5. Step 5: Solve for x
    x = 103,786,836.27/11,548.38
  6. Step 6: Final answer
    x = 8,987.14

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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.