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Finding the Fourth Proportional to 11,618.44, 17,430.39 and 3,827.25

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Solution

The fourth proportional to 11,618.44, 17,430.39 and 3,827.25 is: 5,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.44 : 17,430.39 = 3,827.25 : x
  2. Step 2: Convert to fraction form
    11,618.44/17,430.39 = 3,827.25/x
  3. Step 3: Cross multiply
    11,618.44x = 17,430.39 × 3,827.25
  4. Step 4: Simplify right side
    11,618.44x = 66,710,460.13
  5. Step 5: Solve for x
    x = 66,710,460.13/11,618.44
  6. Step 6: Final answer
    x = 5,741.78

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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.