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Finding the Fourth Proportional to 7,910.92, 11,882.31 and 4,754.62

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Solution

The fourth proportional to 7,910.92, 11,882.31 and 4,754.62 is: 7,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.92 : 11,882.31 = 4,754.62 : x
  2. Step 2: Convert to fraction form
    7,910.92/11,882.31 = 4,754.62/x
  3. Step 3: Cross multiply
    7,910.92x = 11,882.31 × 4,754.62
  4. Step 4: Simplify right side
    7,910.92x = 56,495,868.77
  5. Step 5: Solve for x
    x = 56,495,868.77/7,910.92
  6. Step 6: Final answer
    x = 7,141.50

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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.