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Finding the Fourth Proportional to 11,822.99, 16,316.43 and 6,517.78

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Solution

The fourth proportional to 11,822.99, 16,316.43 and 6,517.78 is: 8,994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.99 : 16,316.43 = 6,517.78 : x
  2. Step 2: Convert to fraction form
    11,822.99/16,316.43 = 6,517.78/x
  3. Step 3: Cross multiply
    11,822.99x = 16,316.43 × 6,517.78
  4. Step 4: Simplify right side
    11,822.99x = 106,346,819.54
  5. Step 5: Solve for x
    x = 106,346,819.54/11,822.99
  6. Step 6: Final answer
    x = 8,994.92

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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.