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Finding the Fourth Proportional to 6,684.33, 10,032.99 and 3,224.01

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Solution

The fourth proportional to 6,684.33, 10,032.99 and 3,224.01 is: 4,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.33 : 10,032.99 = 3,224.01 : x
  2. Step 2: Convert to fraction form
    6,684.33/10,032.99 = 3,224.01/x
  3. Step 3: Cross multiply
    6,684.33x = 10,032.99 × 3,224.01
  4. Step 4: Simplify right side
    6,684.33x = 32,346,460.09
  5. Step 5: Solve for x
    x = 32,346,460.09/6,684.33
  6. Step 6: Final answer
    x = 4,839.15

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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.