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Finding the Fourth Proportional to 8,187.76, 11,305.47 and 6,296.41

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Solution

The fourth proportional to 8,187.76, 11,305.47 and 6,296.41 is: 8,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.76 : 11,305.47 = 6,296.41 : x
  2. Step 2: Convert to fraction form
    8,187.76/11,305.47 = 6,296.41/x
  3. Step 3: Cross multiply
    8,187.76x = 11,305.47 × 6,296.41
  4. Step 4: Simplify right side
    8,187.76x = 71,183,874.36
  5. Step 5: Solve for x
    x = 71,183,874.36/8,187.76
  6. Step 6: Final answer
    x = 8,693.94

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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.