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Finding the Fourth Proportional to 7,138.60, 10,708.92 and 2,208.66

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Solution

The fourth proportional to 7,138.60, 10,708.92 and 2,208.66 is: 3,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.60 : 10,708.92 = 2,208.66 : x
  2. Step 2: Convert to fraction form
    7,138.60/10,708.92 = 2,208.66/x
  3. Step 3: Cross multiply
    7,138.60x = 10,708.92 × 2,208.66
  4. Step 4: Simplify right side
    7,138.60x = 23,652,363.25
  5. Step 5: Solve for x
    x = 23,652,363.25/7,138.60
  6. Step 6: Final answer
    x = 3,313.31

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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.