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Finding the Fourth Proportional to 11,863.13, 16,371.38 and 7,678.67

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Solution

The fourth proportional to 11,863.13, 16,371.38 and 7,678.67 is: 10,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.13 : 16,371.38 = 7,678.67 : x
  2. Step 2: Convert to fraction form
    11,863.13/16,371.38 = 7,678.67/x
  3. Step 3: Cross multiply
    11,863.13x = 16,371.38 × 7,678.67
  4. Step 4: Simplify right side
    11,863.13x = 125,710,361.80
  5. Step 5: Solve for x
    x = 125,710,361.80/11,863.13
  6. Step 6: Final answer
    x = 10,596.73

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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.