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Finding the Fourth Proportional to 11,863, 16,372.38 and 6,895

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Solution

The fourth proportional to 11,863, 16,372.38 and 6,895 is: 9,515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863 : 16,372.38 = 6,895 : x
  2. Step 2: Convert to fraction form
    11,863/16,372.38 = 6,895/x
  3. Step 3: Cross multiply
    11,863x = 16,372.38 × 6,895
  4. Step 4: Simplify right side
    11,863x = 112,887,560.10
  5. Step 5: Solve for x
    x = 112,887,560.10/11,863
  6. Step 6: Final answer
    x = 9,515.94

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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.