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Finding the Fourth Proportional to 7,222.52, 10,834.16 and 2,292.54

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Solution

The fourth proportional to 7,222.52, 10,834.16 and 2,292.54 is: 3,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.52 : 10,834.16 = 2,292.54 : x
  2. Step 2: Convert to fraction form
    7,222.52/10,834.16 = 2,292.54/x
  3. Step 3: Cross multiply
    7,222.52x = 10,834.16 × 2,292.54
  4. Step 4: Simplify right side
    7,222.52x = 24,837,745.17
  5. Step 5: Solve for x
    x = 24,837,745.17/7,222.52
  6. Step 6: Final answer
    x = 3,438.93

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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.