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Finding the Fourth Proportional to 7,138.06, 10,703.15 and 2,206.33

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Solution

The fourth proportional to 7,138.06, 10,703.15 and 2,206.33 is: 3,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.06 : 10,703.15 = 2,206.33 : x
  2. Step 2: Convert to fraction form
    7,138.06/10,703.15 = 2,206.33/x
  3. Step 3: Cross multiply
    7,138.06x = 10,703.15 × 2,206.33
  4. Step 4: Simplify right side
    7,138.06x = 23,614,680.94
  5. Step 5: Solve for x
    x = 23,614,680.94/7,138.06
  6. Step 6: Final answer
    x = 3,308.28

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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.