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Finding the Fourth Proportional to 11,819.84, 16,314.16 and 7,346.97

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Solution

The fourth proportional to 11,819.84, 16,314.16 and 7,346.97 is: 10,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.84 : 16,314.16 = 7,346.97 : x
  2. Step 2: Convert to fraction form
    11,819.84/16,314.16 = 7,346.97/x
  3. Step 3: Cross multiply
    11,819.84x = 16,314.16 × 7,346.97
  4. Step 4: Simplify right side
    11,819.84x = 119,859,644.10
  5. Step 5: Solve for x
    x = 119,859,644.10/11,819.84
  6. Step 6: Final answer
    x = 10,140.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.