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Finding the Fourth Proportional to 11,735.42, 17,605.74 and 3,944

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Solution

The fourth proportional to 11,735.42, 17,605.74 and 3,944 is: 5,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.42 : 17,605.74 = 3,944 : x
  2. Step 2: Convert to fraction form
    11,735.42/17,605.74 = 3,944/x
  3. Step 3: Cross multiply
    11,735.42x = 17,605.74 × 3,944
  4. Step 4: Simplify right side
    11,735.42x = 69,437,038.56
  5. Step 5: Solve for x
    x = 69,437,038.56/11,735.42
  6. Step 6: Final answer
    x = 5,916.88

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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.