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Finding the Fourth Proportional to 8,225.15, 12,335.90 and 3,293.46

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Solution

The fourth proportional to 8,225.15, 12,335.90 and 3,293.46 is: 4,939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.15 : 12,335.90 = 3,293.46 : x
  2. Step 2: Convert to fraction form
    8,225.15/12,335.90 = 3,293.46/x
  3. Step 3: Cross multiply
    8,225.15x = 12,335.90 × 3,293.46
  4. Step 4: Simplify right side
    8,225.15x = 40,627,776.75
  5. Step 5: Solve for x
    x = 40,627,776.75/8,225.15
  6. Step 6: Final answer
    x = 4,939.46

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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.