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Finding the Fourth Proportional to 11,443.42, 17,165.75 and 3,651.63

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Solution

The fourth proportional to 11,443.42, 17,165.75 and 3,651.63 is: 5,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.42 : 17,165.75 = 3,651.63 : x
  2. Step 2: Convert to fraction form
    11,443.42/17,165.75 = 3,651.63/x
  3. Step 3: Cross multiply
    11,443.42x = 17,165.75 × 3,651.63
  4. Step 4: Simplify right side
    11,443.42x = 62,682,967.67
  5. Step 5: Solve for x
    x = 62,682,967.67/11,443.42
  6. Step 6: Final answer
    x = 5,477.64

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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.