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Finding the Fourth Proportional to 6,731.06, 10,090.02 and 3,220.16

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Solution

The fourth proportional to 6,731.06, 10,090.02 and 3,220.16 is: 4,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.06 : 10,090.02 = 3,220.16 : x
  2. Step 2: Convert to fraction form
    6,731.06/10,090.02 = 3,220.16/x
  3. Step 3: Cross multiply
    6,731.06x = 10,090.02 × 3,220.16
  4. Step 4: Simplify right side
    6,731.06x = 32,491,428.35
  5. Step 5: Solve for x
    x = 32,491,428.35/6,731.06
  6. Step 6: Final answer
    x = 4,827.09

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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.