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Finding the Fourth Proportional to 11,201.92, 15,459.03 and 6,166.46

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Solution

The fourth proportional to 11,201.92, 15,459.03 and 6,166.46 is: 8,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.92 : 15,459.03 = 6,166.46 : x
  2. Step 2: Convert to fraction form
    11,201.92/15,459.03 = 6,166.46/x
  3. Step 3: Cross multiply
    11,201.92x = 15,459.03 × 6,166.46
  4. Step 4: Simplify right side
    11,201.92x = 95,327,528.78
  5. Step 5: Solve for x
    x = 95,327,528.78/11,201.92
  6. Step 6: Final answer
    x = 8,509.93

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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.