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Finding the Fourth Proportional to 11,662.14, 17,498.38 and 6,114.16

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Solution

The fourth proportional to 11,662.14, 17,498.38 and 6,114.16 is: 9,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.14 : 17,498.38 = 6,114.16 : x
  2. Step 2: Convert to fraction form
    11,662.14/17,498.38 = 6,114.16/x
  3. Step 3: Cross multiply
    11,662.14x = 17,498.38 × 6,114.16
  4. Step 4: Simplify right side
    11,662.14x = 106,987,895.06
  5. Step 5: Solve for x
    x = 106,987,895.06/11,662.14
  6. Step 6: Final answer
    x = 9,173.95

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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.