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Finding the Fourth Proportional to 10,696.68, 16,043.94 and 3,301.20

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Solution

The fourth proportional to 10,696.68, 16,043.94 and 3,301.20 is: 4,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.68 : 16,043.94 = 3,301.20 : x
  2. Step 2: Convert to fraction form
    10,696.68/16,043.94 = 3,301.20/x
  3. Step 3: Cross multiply
    10,696.68x = 16,043.94 × 3,301.20
  4. Step 4: Simplify right side
    10,696.68x = 52,964,254.73
  5. Step 5: Solve for x
    x = 52,964,254.73/10,696.68
  6. Step 6: Final answer
    x = 4,951.47

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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.