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Finding the Fourth Proportional to 11,456.60, 17,184.66 and 6,194.12

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Solution

The fourth proportional to 11,456.60, 17,184.66 and 6,194.12 is: 9,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.60 : 17,184.66 = 6,194.12 : x
  2. Step 2: Convert to fraction form
    11,456.60/17,184.66 = 6,194.12/x
  3. Step 3: Cross multiply
    11,456.60x = 17,184.66 × 6,194.12
  4. Step 4: Simplify right side
    11,456.60x = 106,443,846.20
  5. Step 5: Solve for x
    x = 106,443,846.20/11,456.60
  6. Step 6: Final answer
    x = 9,291.05

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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.