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Finding the Fourth Proportional to 11,860.06, 16,369.14 and 7,819.78

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Solution

The fourth proportional to 11,860.06, 16,369.14 and 7,819.78 is: 10,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.06 : 16,369.14 = 7,819.78 : x
  2. Step 2: Convert to fraction form
    11,860.06/16,369.14 = 7,819.78/x
  3. Step 3: Cross multiply
    11,860.06x = 16,369.14 × 7,819.78
  4. Step 4: Simplify right side
    11,860.06x = 128,003,073.59
  5. Step 5: Solve for x
    x = 128,003,073.59/11,860.06
  6. Step 6: Final answer
    x = 10,792.78

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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.