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Finding the Fourth Proportional to 8,396.87, 12,596.00 and 2,553.53

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Solution

The fourth proportional to 8,396.87, 12,596.00 and 2,553.53 is: 3,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.87 : 12,596.00 = 2,553.53 : x
  2. Step 2: Convert to fraction form
    8,396.87/12,596.00 = 2,553.53/x
  3. Step 3: Cross multiply
    8,396.87x = 12,596.00 × 2,553.53
  4. Step 4: Simplify right side
    8,396.87x = 32,164,188.13
  5. Step 5: Solve for x
    x = 32,164,188.13/8,396.87
  6. Step 6: Final answer
    x = 3,830.50

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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.