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Finding the Fourth Proportional to 8,187.92, 11,299.36 and 4,461.92

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Solution

The fourth proportional to 8,187.92, 11,299.36 and 4,461.92 is: 6,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.92 : 11,299.36 = 4,461.92 : x
  2. Step 2: Convert to fraction form
    8,187.92/11,299.36 = 4,461.92/x
  3. Step 3: Cross multiply
    8,187.92x = 11,299.36 × 4,461.92
  4. Step 4: Simplify right side
    8,187.92x = 50,416,840.37
  5. Step 5: Solve for x
    x = 50,416,840.37/8,187.92
  6. Step 6: Final answer
    x = 6,157.47

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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.