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Finding the Fourth Proportional to 11,622.96, 17,434.44 and 3,829.68

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Solution

The fourth proportional to 11,622.96, 17,434.44 and 3,829.68 is: 5,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.96 : 17,434.44 = 3,829.68 : x
  2. Step 2: Convert to fraction form
    11,622.96/17,434.44 = 3,829.68/x
  3. Step 3: Cross multiply
    11,622.96x = 17,434.44 × 3,829.68
  4. Step 4: Simplify right side
    11,622.96x = 66,768,326.18
  5. Step 5: Solve for x
    x = 66,768,326.18/11,622.96
  6. Step 6: Final answer
    x = 5,744.52

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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.