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Finding the Fourth Proportional to 8,121.42, 12,183.06 and 4,429.05

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Solution

The fourth proportional to 8,121.42, 12,183.06 and 4,429.05 is: 6,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.42 : 12,183.06 = 4,429.05 : x
  2. Step 2: Convert to fraction form
    8,121.42/12,183.06 = 4,429.05/x
  3. Step 3: Cross multiply
    8,121.42x = 12,183.06 × 4,429.05
  4. Step 4: Simplify right side
    8,121.42x = 53,959,381.89
  5. Step 5: Solve for x
    x = 53,959,381.89/8,121.42
  6. Step 6: Final answer
    x = 6,644.08

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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.