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Finding the Fourth Proportional to 11,777.72, 17,663.87 and 7,035.21

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Solution

The fourth proportional to 11,777.72, 17,663.87 and 7,035.21 is: 10,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.72 : 17,663.87 = 7,035.21 : x
  2. Step 2: Convert to fraction form
    11,777.72/17,663.87 = 7,035.21/x
  3. Step 3: Cross multiply
    11,777.72x = 17,663.87 × 7,035.21
  4. Step 4: Simplify right side
    11,777.72x = 124,269,052.45
  5. Step 5: Solve for x
    x = 124,269,052.45/11,777.72
  6. Step 6: Final answer
    x = 10,551.20

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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.