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Finding the Fourth Proportional to 8,396.71, 12,596.44 and 2,849.48

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Solution

The fourth proportional to 8,396.71, 12,596.44 and 2,849.48 is: 4,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.71 : 12,596.44 = 2,849.48 : x
  2. Step 2: Convert to fraction form
    8,396.71/12,596.44 = 2,849.48/x
  3. Step 3: Cross multiply
    8,396.71x = 12,596.44 × 2,849.48
  4. Step 4: Simplify right side
    8,396.71x = 35,893,278.31
  5. Step 5: Solve for x
    x = 35,893,278.31/8,396.71
  6. Step 6: Final answer
    x = 4,274.68

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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.