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Finding the Fourth Proportional to 11,534.79, 15,918.01 and 6,229.61

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Solution

The fourth proportional to 11,534.79, 15,918.01 and 6,229.61 is: 8,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.79 : 15,918.01 = 6,229.61 : x
  2. Step 2: Convert to fraction form
    11,534.79/15,918.01 = 6,229.61/x
  3. Step 3: Cross multiply
    11,534.79x = 15,918.01 × 6,229.61
  4. Step 4: Simplify right side
    11,534.79x = 99,162,923.33
  5. Step 5: Solve for x
    x = 99,162,923.33/11,534.79
  6. Step 6: Final answer
    x = 8,596.86

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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.