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Finding the Fourth Proportional to 10,548.82, 15,824.13 and 2,757.64

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Solution

The fourth proportional to 10,548.82, 15,824.13 and 2,757.64 is: 4,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.82 : 15,824.13 = 2,757.64 : x
  2. Step 2: Convert to fraction form
    10,548.82/15,824.13 = 2,757.64/x
  3. Step 3: Cross multiply
    10,548.82x = 15,824.13 × 2,757.64
  4. Step 4: Simplify right side
    10,548.82x = 43,637,253.85
  5. Step 5: Solve for x
    x = 43,637,253.85/10,548.82
  6. Step 6: Final answer
    x = 4,136.70

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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.