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Finding the Fourth Proportional to 10,663.53, 15,997.09 and 3,266.21

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Solution

The fourth proportional to 10,663.53, 15,997.09 and 3,266.21 is: 4,899.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.53 : 15,997.09 = 3,266.21 : x
  2. Step 2: Convert to fraction form
    10,663.53/15,997.09 = 3,266.21/x
  3. Step 3: Cross multiply
    10,663.53x = 15,997.09 × 3,266.21
  4. Step 4: Simplify right side
    10,663.53x = 52,249,767.18
  5. Step 5: Solve for x
    x = 52,249,767.18/10,663.53
  6. Step 6: Final answer
    x = 4,899.86

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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.