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Finding the Fourth Proportional to 11,793.79, 16,277.52 and 7,078.38

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Solution

The fourth proportional to 11,793.79, 16,277.52 and 7,078.38 is: 9,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.79 : 16,277.52 = 7,078.38 : x
  2. Step 2: Convert to fraction form
    11,793.79/16,277.52 = 7,078.38/x
  3. Step 3: Cross multiply
    11,793.79x = 16,277.52 × 7,078.38
  4. Step 4: Simplify right side
    11,793.79x = 115,218,472.02
  5. Step 5: Solve for x
    x = 115,218,472.02/11,793.79
  6. Step 6: Final answer
    x = 9,769.42

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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.