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Finding the Fourth Proportional to 7,117.92, 10,679.16 and 3,420.42

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Solution

The fourth proportional to 7,117.92, 10,679.16 and 3,420.42 is: 5,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.92 : 10,679.16 = 3,420.42 : x
  2. Step 2: Convert to fraction form
    7,117.92/10,679.16 = 3,420.42/x
  3. Step 3: Cross multiply
    7,117.92x = 10,679.16 × 3,420.42
  4. Step 4: Simplify right side
    7,117.92x = 36,527,212.45
  5. Step 5: Solve for x
    x = 36,527,212.45/7,117.92
  6. Step 6: Final answer
    x = 5,131.73

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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.