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Finding the Fourth Proportional to 11,523.69, 17,285.87 and 6,261.23

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Solution

The fourth proportional to 11,523.69, 17,285.87 and 6,261.23 is: 9,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.69 : 17,285.87 = 6,261.23 : x
  2. Step 2: Convert to fraction form
    11,523.69/17,285.87 = 6,261.23/x
  3. Step 3: Cross multiply
    11,523.69x = 17,285.87 × 6,261.23
  4. Step 4: Simplify right side
    11,523.69x = 108,230,690.08
  5. Step 5: Solve for x
    x = 108,230,690.08/11,523.69
  6. Step 6: Final answer
    x = 9,392.02

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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.