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Finding the Fourth Proportional to 8,473.84, 12,716.62 and 2,927.23

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Solution

The fourth proportional to 8,473.84, 12,716.62 and 2,927.23 is: 4,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.84 : 12,716.62 = 2,927.23 : x
  2. Step 2: Convert to fraction form
    8,473.84/12,716.62 = 2,927.23/x
  3. Step 3: Cross multiply
    8,473.84x = 12,716.62 × 2,927.23
  4. Step 4: Simplify right side
    8,473.84x = 37,224,471.56
  5. Step 5: Solve for x
    x = 37,224,471.56/8,473.84
  6. Step 6: Final answer
    x = 4,392.87

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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.