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Finding the Fourth Proportional to 10,819.82, 16,237.94 and 7,301.49

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Solution

The fourth proportional to 10,819.82, 16,237.94 and 7,301.49 is: 10,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.82 : 16,237.94 = 7,301.49 : x
  2. Step 2: Convert to fraction form
    10,819.82/16,237.94 = 7,301.49/x
  3. Step 3: Cross multiply
    10,819.82x = 16,237.94 × 7,301.49
  4. Step 4: Simplify right side
    10,819.82x = 118,561,156.53
  5. Step 5: Solve for x
    x = 118,561,156.53/10,819.82
  6. Step 6: Final answer
    x = 10,957.78

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