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Finding the Fourth Proportional to 11,743.82, 17,616.03 and 4,627.76

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Solution

The fourth proportional to 11,743.82, 17,616.03 and 4,627.76 is: 6,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.82 : 17,616.03 = 4,627.76 : x
  2. Step 2: Convert to fraction form
    11,743.82/17,616.03 = 4,627.76/x
  3. Step 3: Cross multiply
    11,743.82x = 17,616.03 × 4,627.76
  4. Step 4: Simplify right side
    11,743.82x = 81,522,735.85
  5. Step 5: Solve for x
    x = 81,522,735.85/11,743.82
  6. Step 6: Final answer
    x = 6,941.76

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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.