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Finding the Fourth Proportional to 8,396.93, 12,592.11 and 2,849.24

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Solution

The fourth proportional to 8,396.93, 12,592.11 and 2,849.24 is: 4,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.93 : 12,592.11 = 2,849.24 : x
  2. Step 2: Convert to fraction form
    8,396.93/12,592.11 = 2,849.24/x
  3. Step 3: Cross multiply
    8,396.93x = 12,592.11 × 2,849.24
  4. Step 4: Simplify right side
    8,396.93x = 35,877,943.50
  5. Step 5: Solve for x
    x = 35,877,943.50/8,396.93
  6. Step 6: Final answer
    x = 4,272.75

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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.