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Finding the Fourth Proportional to 11,819.70, 17,733.02 and 3,499.93

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Solution

The fourth proportional to 11,819.70, 17,733.02 and 3,499.93 is: 5,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.70 : 17,733.02 = 3,499.93 : x
  2. Step 2: Convert to fraction form
    11,819.70/17,733.02 = 3,499.93/x
  3. Step 3: Cross multiply
    11,819.70x = 17,733.02 × 3,499.93
  4. Step 4: Simplify right side
    11,819.70x = 62,064,328.69
  5. Step 5: Solve for x
    x = 62,064,328.69/11,819.70
  6. Step 6: Final answer
    x = 5,250.92

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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.