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Finding the Fourth Proportional to 10,594.78, 15,892.28 and 3,199.30

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Solution

The fourth proportional to 10,594.78, 15,892.28 and 3,199.30 is: 4,798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.78 : 15,892.28 = 3,199.30 : x
  2. Step 2: Convert to fraction form
    10,594.78/15,892.28 = 3,199.30/x
  3. Step 3: Cross multiply
    10,594.78x = 15,892.28 × 3,199.30
  4. Step 4: Simplify right side
    10,594.78x = 50,844,171.40
  5. Step 5: Solve for x
    x = 50,844,171.40/10,594.78
  6. Step 6: Final answer
    x = 4,798.98

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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.