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Finding the Fourth Proportional to 11,166.48, 15,409.76 and 6,198.48

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Solution

The fourth proportional to 11,166.48, 15,409.76 and 6,198.48 is: 8,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.48 : 15,409.76 = 6,198.48 : x
  2. Step 2: Convert to fraction form
    11,166.48/15,409.76 = 6,198.48/x
  3. Step 3: Cross multiply
    11,166.48x = 15,409.76 × 6,198.48
  4. Step 4: Simplify right side
    11,166.48x = 95,517,089.16
  5. Step 5: Solve for x
    x = 95,517,089.16/11,166.48
  6. Step 6: Final answer
    x = 8,553.91

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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.