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Finding the Fourth Proportional to 8,474.19, 12,709.17 and 4,029.84

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Solution

The fourth proportional to 8,474.19, 12,709.17 and 4,029.84 is: 6,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.19 : 12,709.17 = 4,029.84 : x
  2. Step 2: Convert to fraction form
    8,474.19/12,709.17 = 4,029.84/x
  3. Step 3: Cross multiply
    8,474.19x = 12,709.17 × 4,029.84
  4. Step 4: Simplify right side
    8,474.19x = 51,215,921.63
  5. Step 5: Solve for x
    x = 51,215,921.63/8,474.19
  6. Step 6: Final answer
    x = 6,043.75

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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.