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Finding the Fourth Proportional to 11,687.04, 17,537.04 and 4,761

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Solution

The fourth proportional to 11,687.04, 17,537.04 and 4,761 is: 7,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.04 : 17,537.04 = 4,761 : x
  2. Step 2: Convert to fraction form
    11,687.04/17,537.04 = 4,761/x
  3. Step 3: Cross multiply
    11,687.04x = 17,537.04 × 4,761
  4. Step 4: Simplify right side
    11,687.04x = 83,493,847.44
  5. Step 5: Solve for x
    x = 83,493,847.44/11,687.04
  6. Step 6: Final answer
    x = 7,144.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.