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Finding the Fourth Proportional to 11,546.36, 17,309.22 and 4,524.74

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Solution

The fourth proportional to 11,546.36, 17,309.22 and 4,524.74 is: 6,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.36 : 17,309.22 = 4,524.74 : x
  2. Step 2: Convert to fraction form
    11,546.36/17,309.22 = 4,524.74/x
  3. Step 3: Cross multiply
    11,546.36x = 17,309.22 × 4,524.74
  4. Step 4: Simplify right side
    11,546.36x = 78,319,720.10
  5. Step 5: Solve for x
    x = 78,319,720.10/11,546.36
  6. Step 6: Final answer
    x = 6,783.07

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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.