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Finding the Fourth Proportional to 8,152.42, 12,220.08 and 3,986.68

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Solution

The fourth proportional to 8,152.42, 12,220.08 and 3,986.68 is: 5,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.42 : 12,220.08 = 3,986.68 : x
  2. Step 2: Convert to fraction form
    8,152.42/12,220.08 = 3,986.68/x
  3. Step 3: Cross multiply
    8,152.42x = 12,220.08 × 3,986.68
  4. Step 4: Simplify right side
    8,152.42x = 48,717,548.53
  5. Step 5: Solve for x
    x = 48,717,548.53/8,152.42
  6. Step 6: Final answer
    x = 5,975.84

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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.