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Finding the Fourth Proportional to 11,657.72, 17,493.84 and 5,084

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Solution

The fourth proportional to 11,657.72, 17,493.84 and 5,084 is: 7,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.72 : 17,493.84 = 5,084 : x
  2. Step 2: Convert to fraction form
    11,657.72/17,493.84 = 5,084/x
  3. Step 3: Cross multiply
    11,657.72x = 17,493.84 × 5,084
  4. Step 4: Simplify right side
    11,657.72x = 88,938,682.56
  5. Step 5: Solve for x
    x = 88,938,682.56/11,657.72
  6. Step 6: Final answer
    x = 7,629.17

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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.