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Finding the Fourth Proportional to 8,473.87, 11,694.63 and 4,697.41

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Solution

The fourth proportional to 8,473.87, 11,694.63 and 4,697.41 is: 6,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.87 : 11,694.63 = 4,697.41 : x
  2. Step 2: Convert to fraction form
    8,473.87/11,694.63 = 4,697.41/x
  3. Step 3: Cross multiply
    8,473.87x = 11,694.63 × 4,697.41
  4. Step 4: Simplify right side
    8,473.87x = 54,934,471.91
  5. Step 5: Solve for x
    x = 54,934,471.91/8,473.87
  6. Step 6: Final answer
    x = 6,482.81

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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.