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Finding the Fourth Proportional to 11,662.24, 17,495.88 and 3,765.20

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Solution

The fourth proportional to 11,662.24, 17,495.88 and 3,765.20 is: 5,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.24 : 17,495.88 = 3,765.20 : x
  2. Step 2: Convert to fraction form
    11,662.24/17,495.88 = 3,765.20/x
  3. Step 3: Cross multiply
    11,662.24x = 17,495.88 × 3,765.20
  4. Step 4: Simplify right side
    11,662.24x = 65,875,487.38
  5. Step 5: Solve for x
    x = 65,875,487.38/11,662.24
  6. Step 6: Final answer
    x = 5,648.61

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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.