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Finding the Fourth Proportional to 10,750.80, 16,126.20 and 8,126.40

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Solution

The fourth proportional to 10,750.80, 16,126.20 and 8,126.40 is: 12,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.80 : 16,126.20 = 8,126.40 : x
  2. Step 2: Convert to fraction form
    10,750.80/16,126.20 = 8,126.40/x
  3. Step 3: Cross multiply
    10,750.80x = 16,126.20 × 8,126.40
  4. Step 4: Simplify right side
    10,750.80x = 131,047,951.68
  5. Step 5: Solve for x
    x = 131,047,951.68/10,750.80
  6. Step 6: Final answer
    x = 12,189.60

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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.