Home / 8,214.24-12,322.20-3,283.20

Finding the Fourth Proportional to 8,214.24, 12,322.20 and 3,283.20

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Solution

The fourth proportional to 8,214.24, 12,322.20 and 3,283.20 is: 4,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.24 : 12,322.20 = 3,283.20 : x
  2. Step 2: Convert to fraction form
    8,214.24/12,322.20 = 3,283.20/x
  3. Step 3: Cross multiply
    8,214.24x = 12,322.20 × 3,283.20
  4. Step 4: Simplify right side
    8,214.24x = 40,456,247.04
  5. Step 5: Solve for x
    x = 40,456,247.04/8,214.24
  6. Step 6: Final answer
    x = 4,925.14

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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.