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Finding the Fourth Proportional to 10,696.73, 16,046.02 and 2,799.21

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Solution

The fourth proportional to 10,696.73, 16,046.02 and 2,799.21 is: 4,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.73 : 16,046.02 = 2,799.21 : x
  2. Step 2: Convert to fraction form
    10,696.73/16,046.02 = 2,799.21/x
  3. Step 3: Cross multiply
    10,696.73x = 16,046.02 × 2,799.21
  4. Step 4: Simplify right side
    10,696.73x = 44,916,219.76
  5. Step 5: Solve for x
    x = 44,916,219.76/10,696.73
  6. Step 6: Final answer
    x = 4,199.06

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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.