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Finding the Fourth Proportional to 11,086.38, 15,301.71 and 7,551

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Solution

The fourth proportional to 11,086.38, 15,301.71 and 7,551 is: 10,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086.38 : 15,301.71 = 7,551 : x
  2. Step 2: Convert to fraction form
    11,086.38/15,301.71 = 7,551/x
  3. Step 3: Cross multiply
    11,086.38x = 15,301.71 × 7,551
  4. Step 4: Simplify right side
    11,086.38x = 115,543,212.21
  5. Step 5: Solve for x
    x = 115,543,212.21/11,086.38
  6. Step 6: Final answer
    x = 10,422.09

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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.