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Finding the Fourth Proportional to 7,277.72, 10,906.14 and 4,151.25

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Solution

The fourth proportional to 7,277.72, 10,906.14 and 4,151.25 is: 6,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.72 : 10,906.14 = 4,151.25 : x
  2. Step 2: Convert to fraction form
    7,277.72/10,906.14 = 4,151.25/x
  3. Step 3: Cross multiply
    7,277.72x = 10,906.14 × 4,151.25
  4. Step 4: Simplify right side
    7,277.72x = 45,274,113.68
  5. Step 5: Solve for x
    x = 45,274,113.68/7,277.72
  6. Step 6: Final answer
    x = 6,220.92

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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.