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Finding the Fourth Proportional to 10,594.88, 15,892.43 and 3,199.40

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Solution

The fourth proportional to 10,594.88, 15,892.43 and 3,199.40 is: 4,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.88 : 15,892.43 = 3,199.40 : x
  2. Step 2: Convert to fraction form
    10,594.88/15,892.43 = 3,199.40/x
  3. Step 3: Cross multiply
    10,594.88x = 15,892.43 × 3,199.40
  4. Step 4: Simplify right side
    10,594.88x = 50,846,213.68
  5. Step 5: Solve for x
    x = 50,846,213.68/10,594.88
  6. Step 6: Final answer
    x = 4,799.13

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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.