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Finding the Fourth Proportional to 11,642, 17,466.36 and 3,434

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Solution

The fourth proportional to 11,642, 17,466.36 and 3,434 is: 5,151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642 : 17,466.36 = 3,434 : x
  2. Step 2: Convert to fraction form
    11,642/17,466.36 = 3,434/x
  3. Step 3: Cross multiply
    11,642x = 17,466.36 × 3,434
  4. Step 4: Simplify right side
    11,642x = 59,979,480.24
  5. Step 5: Solve for x
    x = 59,979,480.24/11,642
  6. Step 6: Final answer
    x = 5,151.99

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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.