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Finding the Fourth Proportional to 10,593.87, 15,893.01 and 3,199.02

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Solution

The fourth proportional to 10,593.87, 15,893.01 and 3,199.02 is: 4,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.87 : 15,893.01 = 3,199.02 : x
  2. Step 2: Convert to fraction form
    10,593.87/15,893.01 = 3,199.02/x
  3. Step 3: Cross multiply
    10,593.87x = 15,893.01 × 3,199.02
  4. Step 4: Simplify right side
    10,593.87x = 50,842,056.85
  5. Step 5: Solve for x
    x = 50,842,056.85/10,593.87
  6. Step 6: Final answer
    x = 4,799.20

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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.