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Finding the Fourth Proportional to 11,460.72, 17,176.74 and 6,195.54

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Solution

The fourth proportional to 11,460.72, 17,176.74 and 6,195.54 is: 9,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.72 : 17,176.74 = 6,195.54 : x
  2. Step 2: Convert to fraction form
    11,460.72/17,176.74 = 6,195.54/x
  3. Step 3: Cross multiply
    11,460.72x = 17,176.74 × 6,195.54
  4. Step 4: Simplify right side
    11,460.72x = 106,419,179.74
  5. Step 5: Solve for x
    x = 106,419,179.74/11,460.72
  6. Step 6: Final answer
    x = 9,285.56

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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.