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Finding the Fourth Proportional to 7,786.13, 11,694.92 and 4,672.04

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Solution

The fourth proportional to 7,786.13, 11,694.92 and 4,672.04 is: 7,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.13 : 11,694.92 = 4,672.04 : x
  2. Step 2: Convert to fraction form
    7,786.13/11,694.92 = 4,672.04/x
  3. Step 3: Cross multiply
    7,786.13x = 11,694.92 × 4,672.04
  4. Step 4: Simplify right side
    7,786.13x = 54,639,139.91
  5. Step 5: Solve for x
    x = 54,639,139.91/7,786.13
  6. Step 6: Final answer
    x = 7,017.50

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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.