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Finding the Fourth Proportional to 11,234.57, 15,503.74 and 6,198.54

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Solution

The fourth proportional to 11,234.57, 15,503.74 and 6,198.54 is: 8,554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.57 : 15,503.74 = 6,198.54 : x
  2. Step 2: Convert to fraction form
    11,234.57/15,503.74 = 6,198.54/x
  3. Step 3: Cross multiply
    11,234.57x = 15,503.74 × 6,198.54
  4. Step 4: Simplify right side
    11,234.57x = 96,100,478.90
  5. Step 5: Solve for x
    x = 96,100,478.90/11,234.57
  6. Step 6: Final answer
    x = 8,554.00

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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.