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Finding the Fourth Proportional to 7,271.57, 10,906.74 and 2,887.85

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Solution

The fourth proportional to 7,271.57, 10,906.74 and 2,887.85 is: 4,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.57 : 10,906.74 = 2,887.85 : x
  2. Step 2: Convert to fraction form
    7,271.57/10,906.74 = 2,887.85/x
  3. Step 3: Cross multiply
    7,271.57x = 10,906.74 × 2,887.85
  4. Step 4: Simplify right side
    7,271.57x = 31,496,963.75
  5. Step 5: Solve for x
    x = 31,496,963.75/7,271.57
  6. Step 6: Final answer
    x = 4,331.52

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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.