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Finding the Fourth Proportional to 7,270.42, 10,906.98 and 4,153.96

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Solution

The fourth proportional to 7,270.42, 10,906.98 and 4,153.96 is: 6,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.42 : 10,906.98 = 4,153.96 : x
  2. Step 2: Convert to fraction form
    7,270.42/10,906.98 = 4,153.96/x
  3. Step 3: Cross multiply
    7,270.42x = 10,906.98 × 4,153.96
  4. Step 4: Simplify right side
    7,270.42x = 45,307,158.64
  5. Step 5: Solve for x
    x = 45,307,158.64/7,270.42
  6. Step 6: Final answer
    x = 6,231.71

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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.