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Finding the Fourth Proportional to 7,138.40, 10,708.62 and 2,208.42

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Solution

The fourth proportional to 7,138.40, 10,708.62 and 2,208.42 is: 3,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.40 : 10,708.62 = 2,208.42 : x
  2. Step 2: Convert to fraction form
    7,138.40/10,708.62 = 2,208.42/x
  3. Step 3: Cross multiply
    7,138.40x = 10,708.62 × 2,208.42
  4. Step 4: Simplify right side
    7,138.40x = 23,649,130.58
  5. Step 5: Solve for x
    x = 23,649,130.58/7,138.40
  6. Step 6: Final answer
    x = 3,312.95

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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.