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Finding the Fourth Proportional to 8,213.40, 12,320.76 and 2,949.48

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Solution

The fourth proportional to 8,213.40, 12,320.76 and 2,949.48 is: 4,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.40 : 12,320.76 = 2,949.48 : x
  2. Step 2: Convert to fraction form
    8,213.40/12,320.76 = 2,949.48/x
  3. Step 3: Cross multiply
    8,213.40x = 12,320.76 × 2,949.48
  4. Step 4: Simplify right side
    8,213.40x = 36,339,835.20
  5. Step 5: Solve for x
    x = 36,339,835.20/8,213.40
  6. Step 6: Final answer
    x = 4,424.46

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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.