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Finding the Fourth Proportional to 8,193.86, 12,291.90 and 3,264.02

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Solution

The fourth proportional to 8,193.86, 12,291.90 and 3,264.02 is: 4,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.86 : 12,291.90 = 3,264.02 : x
  2. Step 2: Convert to fraction form
    8,193.86/12,291.90 = 3,264.02/x
  3. Step 3: Cross multiply
    8,193.86x = 12,291.90 × 3,264.02
  4. Step 4: Simplify right side
    8,193.86x = 40,121,007.44
  5. Step 5: Solve for x
    x = 40,121,007.44/8,193.86
  6. Step 6: Final answer
    x = 4,896.47

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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.