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Finding the Fourth Proportional to 8,471.40, 11,690.99 and 4,694.98

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Solution

The fourth proportional to 8,471.40, 11,690.99 and 4,694.98 is: 6,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.40 : 11,690.99 = 4,694.98 : x
  2. Step 2: Convert to fraction form
    8,471.40/11,690.99 = 4,694.98/x
  3. Step 3: Cross multiply
    8,471.40x = 11,690.99 × 4,694.98
  4. Step 4: Simplify right side
    8,471.40x = 54,888,940.76
  5. Step 5: Solve for x
    x = 54,888,940.76/8,471.40
  6. Step 6: Final answer
    x = 6,479.32

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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.