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Finding the Fourth Proportional to 11,299.50, 16,951.14 and 3,506.76

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Solution

The fourth proportional to 11,299.50, 16,951.14 and 3,506.76 is: 5,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.50 : 16,951.14 = 3,506.76 : x
  2. Step 2: Convert to fraction form
    11,299.50/16,951.14 = 3,506.76/x
  3. Step 3: Cross multiply
    11,299.50x = 16,951.14 × 3,506.76
  4. Step 4: Simplify right side
    11,299.50x = 59,443,579.71
  5. Step 5: Solve for x
    x = 59,443,579.71/11,299.50
  6. Step 6: Final answer
    x = 5,260.73

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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.