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Finding the Fourth Proportional to 10,863.92, 14,993.81 and 6,885.39

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Solution

The fourth proportional to 10,863.92, 14,993.81 and 6,885.39 is: 9,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.92 : 14,993.81 = 6,885.39 : x
  2. Step 2: Convert to fraction form
    10,863.92/14,993.81 = 6,885.39/x
  3. Step 3: Cross multiply
    10,863.92x = 14,993.81 × 6,885.39
  4. Step 4: Simplify right side
    10,863.92x = 103,238,195.01
  5. Step 5: Solve for x
    x = 103,238,195.01/10,863.92
  6. Step 6: Final answer
    x = 9,502.85

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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.