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Finding the Fourth Proportional to 11,434.22, 17,151.12 and 3,642.92

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Solution

The fourth proportional to 11,434.22, 17,151.12 and 3,642.92 is: 5,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.22 : 17,151.12 = 3,642.92 : x
  2. Step 2: Convert to fraction form
    11,434.22/17,151.12 = 3,642.92/x
  3. Step 3: Cross multiply
    11,434.22x = 17,151.12 × 3,642.92
  4. Step 4: Simplify right side
    11,434.22x = 62,480,158.07
  5. Step 5: Solve for x
    x = 62,480,158.07/11,434.22
  6. Step 6: Final answer
    x = 5,464.31

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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.