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Finding the Fourth Proportional to 6,696.21, 10,045.68 and 2,016.20

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Solution

The fourth proportional to 6,696.21, 10,045.68 and 2,016.20 is: 3,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.21 : 10,045.68 = 2,016.20 : x
  2. Step 2: Convert to fraction form
    6,696.21/10,045.68 = 2,016.20/x
  3. Step 3: Cross multiply
    6,696.21x = 10,045.68 × 2,016.20
  4. Step 4: Simplify right side
    6,696.21x = 20,254,069.54
  5. Step 5: Solve for x
    x = 20,254,069.54/6,696.21
  6. Step 6: Final answer
    x = 3,024.71

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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.