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Finding the Fourth Proportional to 7,267.56, 10,894.72 and 2,884

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Solution

The fourth proportional to 7,267.56, 10,894.72 and 2,884 is: 4,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.56 : 10,894.72 = 2,884 : x
  2. Step 2: Convert to fraction form
    7,267.56/10,894.72 = 2,884/x
  3. Step 3: Cross multiply
    7,267.56x = 10,894.72 × 2,884
  4. Step 4: Simplify right side
    7,267.56x = 31,420,372.48
  5. Step 5: Solve for x
    x = 31,420,372.48/7,267.56
  6. Step 6: Final answer
    x = 4,323.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.