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Finding the Fourth Proportional to 6,685.70, 10,028.26 and 2,005.64

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Solution

The fourth proportional to 6,685.70, 10,028.26 and 2,005.64 is: 3,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.70 : 10,028.26 = 2,005.64 : x
  2. Step 2: Convert to fraction form
    6,685.70/10,028.26 = 2,005.64/x
  3. Step 3: Cross multiply
    6,685.70x = 10,028.26 × 2,005.64
  4. Step 4: Simplify right side
    6,685.70x = 20,113,079.39
  5. Step 5: Solve for x
    x = 20,113,079.39/6,685.70
  6. Step 6: Final answer
    x = 3,008.37

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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.