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Finding the Fourth Proportional to 11,619.60, 17,429.94 and 3,828.48

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Solution

The fourth proportional to 11,619.60, 17,429.94 and 3,828.48 is: 5,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.60 : 17,429.94 = 3,828.48 : x
  2. Step 2: Convert to fraction form
    11,619.60/17,429.94 = 3,828.48/x
  3. Step 3: Cross multiply
    11,619.60x = 17,429.94 × 3,828.48
  4. Step 4: Simplify right side
    11,619.60x = 66,730,176.69
  5. Step 5: Solve for x
    x = 66,730,176.69/11,619.60
  6. Step 6: Final answer
    x = 5,742.90

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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.