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Finding the Fourth Proportional to 11,644.76, 17,466.66 and 2,879.46

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Solution

The fourth proportional to 11,644.76, 17,466.66 and 2,879.46 is: 4,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.76 : 17,466.66 = 2,879.46 : x
  2. Step 2: Convert to fraction form
    11,644.76/17,466.66 = 2,879.46/x
  3. Step 3: Cross multiply
    11,644.76x = 17,466.66 × 2,879.46
  4. Step 4: Simplify right side
    11,644.76x = 50,294,548.80
  5. Step 5: Solve for x
    x = 50,294,548.80/11,644.76
  6. Step 6: Final answer
    x = 4,319.07

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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.