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Finding the Fourth Proportional to 7,922.64, 10,942.50 and 6,334.77

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Solution

The fourth proportional to 7,922.64, 10,942.50 and 6,334.77 is: 8,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.64 : 10,942.50 = 6,334.77 : x
  2. Step 2: Convert to fraction form
    7,922.64/10,942.50 = 6,334.77/x
  3. Step 3: Cross multiply
    7,922.64x = 10,942.50 × 6,334.77
  4. Step 4: Simplify right side
    7,922.64x = 69,318,220.73
  5. Step 5: Solve for x
    x = 69,318,220.73/7,922.64
  6. Step 6: Final answer
    x = 8,749.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.