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Finding the Fourth Proportional to 11,178.91, 16,761.03 and 6,249.07

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Solution

The fourth proportional to 11,178.91, 16,761.03 and 6,249.07 is: 9,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.91 : 16,761.03 = 6,249.07 : x
  2. Step 2: Convert to fraction form
    11,178.91/16,761.03 = 6,249.07/x
  3. Step 3: Cross multiply
    11,178.91x = 16,761.03 × 6,249.07
  4. Step 4: Simplify right side
    11,178.91x = 104,740,849.74
  5. Step 5: Solve for x
    x = 104,740,849.74/11,178.91
  6. Step 6: Final answer
    x = 9,369.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.