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Finding the Fourth Proportional to 11,778.56, 16,249.76 and 6,740.08

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Solution

The fourth proportional to 11,778.56, 16,249.76 and 6,740.08 is: 9,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.56 : 16,249.76 = 6,740.08 : x
  2. Step 2: Convert to fraction form
    11,778.56/16,249.76 = 6,740.08/x
  3. Step 3: Cross multiply
    11,778.56x = 16,249.76 × 6,740.08
  4. Step 4: Simplify right side
    11,778.56x = 109,524,682.38
  5. Step 5: Solve for x
    x = 109,524,682.38/11,778.56
  6. Step 6: Final answer
    x = 9,298.65

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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.