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Finding the Fourth Proportional to 7,910.30, 10,910.94 and 6,228.92

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Solution

The fourth proportional to 7,910.30, 10,910.94 and 6,228.92 is: 8,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.30 : 10,910.94 = 6,228.92 : x
  2. Step 2: Convert to fraction form
    7,910.30/10,910.94 = 6,228.92/x
  3. Step 3: Cross multiply
    7,910.30x = 10,910.94 × 6,228.92
  4. Step 4: Simplify right side
    7,910.30x = 67,963,372.38
  5. Step 5: Solve for x
    x = 67,963,372.38/7,910.30
  6. Step 6: Final answer
    x = 8,591.76

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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.