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Finding the Fourth Proportional to 11,642.22, 17,464.24 and 3,851.03

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Solution

The fourth proportional to 11,642.22, 17,464.24 and 3,851.03 is: 5,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.22 : 17,464.24 = 3,851.03 : x
  2. Step 2: Convert to fraction form
    11,642.22/17,464.24 = 3,851.03/x
  3. Step 3: Cross multiply
    11,642.22x = 17,464.24 × 3,851.03
  4. Step 4: Simplify right side
    11,642.22x = 67,255,312.17
  5. Step 5: Solve for x
    x = 67,255,312.17/11,642.22
  6. Step 6: Final answer
    x = 5,776.85

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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.