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Finding the Fourth Proportional to 8,187.66, 12,282.26 and 2,264.31

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Solution

The fourth proportional to 8,187.66, 12,282.26 and 2,264.31 is: 3,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.66 : 12,282.26 = 2,264.31 : x
  2. Step 2: Convert to fraction form
    8,187.66/12,282.26 = 2,264.31/x
  3. Step 3: Cross multiply
    8,187.66x = 12,282.26 × 2,264.31
  4. Step 4: Simplify right side
    8,187.66x = 27,810,799.50
  5. Step 5: Solve for x
    x = 27,810,799.50/8,187.66
  6. Step 6: Final answer
    x = 3,396.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.