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Finding the Fourth Proportional to 8,214.12, 12,321.24 and 3,285

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Solution

The fourth proportional to 8,214.12, 12,321.24 and 3,285 is: 4,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.12 : 12,321.24 = 3,285 : x
  2. Step 2: Convert to fraction form
    8,214.12/12,321.24 = 3,285/x
  3. Step 3: Cross multiply
    8,214.12x = 12,321.24 × 3,285
  4. Step 4: Simplify right side
    8,214.12x = 40,475,273.40
  5. Step 5: Solve for x
    x = 40,475,273.40/8,214.12
  6. Step 6: Final answer
    x = 4,927.52

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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.