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Finding the Fourth Proportional to 8,187.36, 11,294.22 and 6,194.40

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Solution

The fourth proportional to 8,187.36, 11,294.22 and 6,194.40 is: 8,544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.36 : 11,294.22 = 6,194.40 : x
  2. Step 2: Convert to fraction form
    8,187.36/11,294.22 = 6,194.40/x
  3. Step 3: Cross multiply
    8,187.36x = 11,294.22 × 6,194.40
  4. Step 4: Simplify right side
    8,187.36x = 69,960,916.37
  5. Step 5: Solve for x
    x = 69,960,916.37/8,187.36
  6. Step 6: Final answer
    x = 8,544.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.