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Finding the Fourth Proportional to 11,563.74, 15,939.45 and 8,199.54

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Solution

The fourth proportional to 11,563.74, 15,939.45 and 8,199.54 is: 11,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.74 : 15,939.45 = 8,199.54 : x
  2. Step 2: Convert to fraction form
    11,563.74/15,939.45 = 8,199.54/x
  3. Step 3: Cross multiply
    11,563.74x = 15,939.45 × 8,199.54
  4. Step 4: Simplify right side
    11,563.74x = 130,696,157.85
  5. Step 5: Solve for x
    x = 130,696,157.85/11,563.74
  6. Step 6: Final answer
    x = 11,302.24

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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.