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Finding the Fourth Proportional to 11,965.22, 17,948.26 and 6,114.99

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Solution

The fourth proportional to 11,965.22, 17,948.26 and 6,114.99 is: 9,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.22 : 17,948.26 = 6,114.99 : x
  2. Step 2: Convert to fraction form
    11,965.22/17,948.26 = 6,114.99/x
  3. Step 3: Cross multiply
    11,965.22x = 17,948.26 × 6,114.99
  4. Step 4: Simplify right side
    11,965.22x = 109,753,430.42
  5. Step 5: Solve for x
    x = 109,753,430.42/11,965.22
  6. Step 6: Final answer
    x = 9,172.71

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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.