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Finding the Fourth Proportional to 11,049.54, 16,574.33 and 7,777.24

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Solution

The fourth proportional to 11,049.54, 16,574.33 and 7,777.24 is: 11,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.54 : 16,574.33 = 7,777.24 : x
  2. Step 2: Convert to fraction form
    11,049.54/16,574.33 = 7,777.24/x
  3. Step 3: Cross multiply
    11,049.54x = 16,574.33 × 7,777.24
  4. Step 4: Simplify right side
    11,049.54x = 128,902,503.36
  5. Step 5: Solve for x
    x = 128,902,503.36/11,049.54
  6. Step 6: Final answer
    x = 11,665.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.