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Finding the Fourth Proportional to 8,187.23, 12,283.25 and 2,640.47

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Solution

The fourth proportional to 8,187.23, 12,283.25 and 2,640.47 is: 3,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.23 : 12,283.25 = 2,640.47 : x
  2. Step 2: Convert to fraction form
    8,187.23/12,283.25 = 2,640.47/x
  3. Step 3: Cross multiply
    8,187.23x = 12,283.25 × 2,640.47
  4. Step 4: Simplify right side
    8,187.23x = 32,433,478.51
  5. Step 5: Solve for x
    x = 32,433,478.51/8,187.23
  6. Step 6: Final answer
    x = 3,961.47

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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.