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Finding the Fourth Proportional to 6,997.44, 10,502.64 and 3,537.12

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Solution

The fourth proportional to 6,997.44, 10,502.64 and 3,537.12 is: 5,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.44 : 10,502.64 = 3,537.12 : x
  2. Step 2: Convert to fraction form
    6,997.44/10,502.64 = 3,537.12/x
  3. Step 3: Cross multiply
    6,997.44x = 10,502.64 × 3,537.12
  4. Step 4: Simplify right side
    6,997.44x = 37,149,098.00
  5. Step 5: Solve for x
    x = 37,149,098.00/6,997.44
  6. Step 6: Final answer
    x = 5,308.96

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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.