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Finding the Fourth Proportional to 11,867.31, 17,797.05 and 4,369.14

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Solution

The fourth proportional to 11,867.31, 17,797.05 and 4,369.14 is: 6,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.31 : 17,797.05 = 4,369.14 : x
  2. Step 2: Convert to fraction form
    11,867.31/17,797.05 = 4,369.14/x
  3. Step 3: Cross multiply
    11,867.31x = 17,797.05 × 4,369.14
  4. Step 4: Simplify right side
    11,867.31x = 77,757,803.04
  5. Step 5: Solve for x
    x = 77,757,803.04/11,867.31
  6. Step 6: Final answer
    x = 6,552.27

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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.