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Finding the Fourth Proportional to 11,251, 16,877.33 and 4,325.50

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Solution

The fourth proportional to 11,251, 16,877.33 and 4,325.50 is: 6,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251 : 16,877.33 = 4,325.50 : x
  2. Step 2: Convert to fraction form
    11,251/16,877.33 = 4,325.50/x
  3. Step 3: Cross multiply
    11,251x = 16,877.33 × 4,325.50
  4. Step 4: Simplify right side
    11,251x = 73,002,890.92
  5. Step 5: Solve for x
    x = 73,002,890.92/11,251
  6. Step 6: Final answer
    x = 6,488.57

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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.