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Finding the Fourth Proportional to 8,266.57, 12,399.85 and 2,110.57

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Solution

The fourth proportional to 8,266.57, 12,399.85 and 2,110.57 is: 3,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.57 : 12,399.85 = 2,110.57 : x
  2. Step 2: Convert to fraction form
    8,266.57/12,399.85 = 2,110.57/x
  3. Step 3: Cross multiply
    8,266.57x = 12,399.85 × 2,110.57
  4. Step 4: Simplify right side
    8,266.57x = 26,170,678.86
  5. Step 5: Solve for x
    x = 26,170,678.86/8,266.57
  6. Step 6: Final answer
    x = 3,165.85

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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.