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Finding the Fourth Proportional to 8,128.98, 12,188.34 and 2,861.10

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Solution

The fourth proportional to 8,128.98, 12,188.34 and 2,861.10 is: 4,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.98 : 12,188.34 = 2,861.10 : x
  2. Step 2: Convert to fraction form
    8,128.98/12,188.34 = 2,861.10/x
  3. Step 3: Cross multiply
    8,128.98x = 12,188.34 × 2,861.10
  4. Step 4: Simplify right side
    8,128.98x = 34,872,059.57
  5. Step 5: Solve for x
    x = 34,872,059.57/8,128.98
  6. Step 6: Final answer
    x = 4,289.84

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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.