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Finding the Fourth Proportional to 11,549.14, 17,317.53 and 5,996.90

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Solution

The fourth proportional to 11,549.14, 17,317.53 and 5,996.90 is: 8,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.14 : 17,317.53 = 5,996.90 : x
  2. Step 2: Convert to fraction form
    11,549.14/17,317.53 = 5,996.90/x
  3. Step 3: Cross multiply
    11,549.14x = 17,317.53 × 5,996.90
  4. Step 4: Simplify right side
    11,549.14x = 103,851,538.95
  5. Step 5: Solve for x
    x = 103,851,538.95/11,549.14
  6. Step 6: Final answer
    x = 8,992.15

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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.