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Finding the Fourth Proportional to 7,074.10, 10,611.24 and 3,613.78

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Solution

The fourth proportional to 7,074.10, 10,611.24 and 3,613.78 is: 5,420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.10 : 10,611.24 = 3,613.78 : x
  2. Step 2: Convert to fraction form
    7,074.10/10,611.24 = 3,613.78/x
  3. Step 3: Cross multiply
    7,074.10x = 10,611.24 × 3,613.78
  4. Step 4: Simplify right side
    7,074.10x = 38,346,686.89
  5. Step 5: Solve for x
    x = 38,346,686.89/7,074.10
  6. Step 6: Final answer
    x = 5,420.72

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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.