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Finding the Fourth Proportional to 11,819.84, 17,732.48 and 4,028.63

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Solution

The fourth proportional to 11,819.84, 17,732.48 and 4,028.63 is: 6,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.84 : 17,732.48 = 4,028.63 : x
  2. Step 2: Convert to fraction form
    11,819.84/17,732.48 = 4,028.63/x
  3. Step 3: Cross multiply
    11,819.84x = 17,732.48 × 4,028.63
  4. Step 4: Simplify right side
    11,819.84x = 71,437,492.10
  5. Step 5: Solve for x
    x = 71,437,492.10/11,819.84
  6. Step 6: Final answer
    x = 6,043.87

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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.