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Finding the Fourth Proportional to 7,110.68, 10,662.91 and 3,778.20

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Solution

The fourth proportional to 7,110.68, 10,662.91 and 3,778.20 is: 5,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.68 : 10,662.91 = 3,778.20 : x
  2. Step 2: Convert to fraction form
    7,110.68/10,662.91 = 3,778.20/x
  3. Step 3: Cross multiply
    7,110.68x = 10,662.91 × 3,778.20
  4. Step 4: Simplify right side
    7,110.68x = 40,286,597.12
  5. Step 5: Solve for x
    x = 40,286,597.12/7,110.68
  6. Step 6: Final answer
    x = 5,665.65

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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.