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Finding the Fourth Proportional to 8,122.87, 12,185.94 and 4,614.55

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Solution

The fourth proportional to 8,122.87, 12,185.94 and 4,614.55 is: 6,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.87 : 12,185.94 = 4,614.55 : x
  2. Step 2: Convert to fraction form
    8,122.87/12,185.94 = 4,614.55/x
  3. Step 3: Cross multiply
    8,122.87x = 12,185.94 × 4,614.55
  4. Step 4: Simplify right side
    8,122.87x = 56,232,684.81
  5. Step 5: Solve for x
    x = 56,232,684.81/8,122.87
  6. Step 6: Final answer
    x = 6,922.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.