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Finding the Fourth Proportional to 7,516.62, 11,262.57 and 7,228.56

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Solution

The fourth proportional to 7,516.62, 11,262.57 and 7,228.56 is: 10,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516.62 : 11,262.57 = 7,228.56 : x
  2. Step 2: Convert to fraction form
    7,516.62/11,262.57 = 7,228.56/x
  3. Step 3: Cross multiply
    7,516.62x = 11,262.57 × 7,228.56
  4. Step 4: Simplify right side
    7,516.62x = 81,412,163.00
  5. Step 5: Solve for x
    x = 81,412,163.00/7,516.62
  6. Step 6: Final answer
    x = 10,830.95

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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.