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Finding the Fourth Proportional to 11,287.17, 16,896.74 and 6,077.25

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Solution

The fourth proportional to 11,287.17, 16,896.74 and 6,077.25 is: 9,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.17 : 16,896.74 = 6,077.25 : x
  2. Step 2: Convert to fraction form
    11,287.17/16,896.74 = 6,077.25/x
  3. Step 3: Cross multiply
    11,287.17x = 16,896.74 × 6,077.25
  4. Step 4: Simplify right side
    11,287.17x = 102,685,682.78
  5. Step 5: Solve for x
    x = 102,685,682.78/11,287.17
  6. Step 6: Final answer
    x = 9,097.56

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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.