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Finding the Fourth Proportional to 11,827.85, 17,741.25 and 2,943

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Solution

The fourth proportional to 11,827.85, 17,741.25 and 2,943 is: 4,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.85 : 17,741.25 = 2,943 : x
  2. Step 2: Convert to fraction form
    11,827.85/17,741.25 = 2,943/x
  3. Step 3: Cross multiply
    11,827.85x = 17,741.25 × 2,943
  4. Step 4: Simplify right side
    11,827.85x = 52,212,498.75
  5. Step 5: Solve for x
    x = 52,212,498.75/11,827.85
  6. Step 6: Final answer
    x = 4,414.37

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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.