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Finding the Fourth Proportional to 10,667.20, 16,000.76 and 8,206.40

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Solution

The fourth proportional to 10,667.20, 16,000.76 and 8,206.40 is: 12,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.20 : 16,000.76 = 8,206.40 : x
  2. Step 2: Convert to fraction form
    10,667.20/16,000.76 = 8,206.40/x
  3. Step 3: Cross multiply
    10,667.20x = 16,000.76 × 8,206.40
  4. Step 4: Simplify right side
    10,667.20x = 131,308,636.86
  5. Step 5: Solve for x
    x = 131,308,636.86/10,667.20
  6. Step 6: Final answer
    x = 12,309.57

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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.