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Finding the Fourth Proportional to 11,365, 17,049.77 and 3,967.47

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Solution

The fourth proportional to 11,365, 17,049.77 and 3,967.47 is: 5,952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365 : 17,049.77 = 3,967.47 : x
  2. Step 2: Convert to fraction form
    11,365/17,049.77 = 3,967.47/x
  3. Step 3: Cross multiply
    11,365x = 17,049.77 × 3,967.47
  4. Step 4: Simplify right side
    11,365x = 67,644,450.98
  5. Step 5: Solve for x
    x = 67,644,450.98/11,365
  6. Step 6: Final answer
    x = 5,952.00

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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.