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Finding the Fourth Proportional to 7,277.66, 10,906.05 and 4,151.19

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Solution

The fourth proportional to 7,277.66, 10,906.05 and 4,151.19 is: 6,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.66 : 10,906.05 = 4,151.19 : x
  2. Step 2: Convert to fraction form
    7,277.66/10,906.05 = 4,151.19/x
  3. Step 3: Cross multiply
    7,277.66x = 10,906.05 × 4,151.19
  4. Step 4: Simplify right side
    7,277.66x = 45,273,085.70
  5. Step 5: Solve for x
    x = 45,273,085.70/7,277.66
  6. Step 6: Final answer
    x = 6,220.83

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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.