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Finding the Fourth Proportional to 8,128.42, 12,199.74 and 3,971.50

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Solution

The fourth proportional to 8,128.42, 12,199.74 and 3,971.50 is: 5,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.42 : 12,199.74 = 3,971.50 : x
  2. Step 2: Convert to fraction form
    8,128.42/12,199.74 = 3,971.50/x
  3. Step 3: Cross multiply
    8,128.42x = 12,199.74 × 3,971.50
  4. Step 4: Simplify right side
    8,128.42x = 48,451,267.41
  5. Step 5: Solve for x
    x = 48,451,267.41/8,128.42
  6. Step 6: Final answer
    x = 5,960.72

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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.