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Finding the Fourth Proportional to 7,137.41, 10,707.14 and 2,207.48

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Solution

The fourth proportional to 7,137.41, 10,707.14 and 2,207.48 is: 3,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.41 : 10,707.14 = 2,207.48 : x
  2. Step 2: Convert to fraction form
    7,137.41/10,707.14 = 2,207.48/x
  3. Step 3: Cross multiply
    7,137.41x = 10,707.14 × 2,207.48
  4. Step 4: Simplify right side
    7,137.41x = 23,635,732.83
  5. Step 5: Solve for x
    x = 23,635,732.83/7,137.41
  6. Step 6: Final answer
    x = 3,311.53

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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.