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Finding the Fourth Proportional to 11,900.81, 16,419.38 and 7,922.57

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Solution

The fourth proportional to 11,900.81, 16,419.38 and 7,922.57 is: 10,930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.81 : 16,419.38 = 7,922.57 : x
  2. Step 2: Convert to fraction form
    11,900.81/16,419.38 = 7,922.57/x
  3. Step 3: Cross multiply
    11,900.81x = 16,419.38 × 7,922.57
  4. Step 4: Simplify right side
    11,900.81x = 130,083,565.70
  5. Step 5: Solve for x
    x = 130,083,565.70/11,900.81
  6. Step 6: Final answer
    x = 10,930.65

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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.