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Finding the Fourth Proportional to 11,652.77, 17,481.69 and 4,257.22

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Solution

The fourth proportional to 11,652.77, 17,481.69 and 4,257.22 is: 6,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.77 : 17,481.69 = 4,257.22 : x
  2. Step 2: Convert to fraction form
    11,652.77/17,481.69 = 4,257.22/x
  3. Step 3: Cross multiply
    11,652.77x = 17,481.69 × 4,257.22
  4. Step 4: Simplify right side
    11,652.77x = 74,423,400.30
  5. Step 5: Solve for x
    x = 74,423,400.30/11,652.77
  6. Step 6: Final answer
    x = 6,386.76

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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.