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Finding the Fourth Proportional to 8,187.48, 11,299.16 and 4,832.24

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Solution

The fourth proportional to 8,187.48, 11,299.16 and 4,832.24 is: 6,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.48 : 11,299.16 = 4,832.24 : x
  2. Step 2: Convert to fraction form
    8,187.48/11,299.16 = 4,832.24/x
  3. Step 3: Cross multiply
    8,187.48x = 11,299.16 × 4,832.24
  4. Step 4: Simplify right side
    8,187.48x = 54,600,252.92
  5. Step 5: Solve for x
    x = 54,600,252.92/8,187.48
  6. Step 6: Final answer
    x = 6,668.75

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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.