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Finding the Fourth Proportional to 6,706.24, 10,059.44 and 2,026.29

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Solution

The fourth proportional to 6,706.24, 10,059.44 and 2,026.29 is: 3,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.24 : 10,059.44 = 2,026.29 : x
  2. Step 2: Convert to fraction form
    6,706.24/10,059.44 = 2,026.29/x
  3. Step 3: Cross multiply
    6,706.24x = 10,059.44 × 2,026.29
  4. Step 4: Simplify right side
    6,706.24x = 20,383,282.25
  5. Step 5: Solve for x
    x = 20,383,282.25/6,706.24
  6. Step 6: Final answer
    x = 3,039.45

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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.