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Finding the Fourth Proportional to 11,183, 15,429.76 and 8,949.44

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Solution

The fourth proportional to 11,183, 15,429.76 and 8,949.44 is: 12,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,183 : 15,429.76 = 8,949.44 : x
  2. Step 2: Convert to fraction form
    11,183/15,429.76 = 8,949.44/x
  3. Step 3: Cross multiply
    11,183x = 15,429.76 × 8,949.44
  4. Step 4: Simplify right side
    11,183x = 138,087,711.33
  5. Step 5: Solve for x
    x = 138,087,711.33/11,183
  6. Step 6: Final answer
    x = 12,348.00

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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.