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Finding the Fourth Proportional to 6,684.84, 10,020.66 and 3,224.52

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Solution

The fourth proportional to 6,684.84, 10,020.66 and 3,224.52 is: 4,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.84 : 10,020.66 = 3,224.52 : x
  2. Step 2: Convert to fraction form
    6,684.84/10,020.66 = 3,224.52/x
  3. Step 3: Cross multiply
    6,684.84x = 10,020.66 × 3,224.52
  4. Step 4: Simplify right side
    6,684.84x = 32,311,818.58
  5. Step 5: Solve for x
    x = 32,311,818.58/6,684.84
  6. Step 6: Final answer
    x = 4,833.60

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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.