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Finding the Fourth Proportional to 10,594.02, 15,892.50 and 3,197.64

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Solution

The fourth proportional to 10,594.02, 15,892.50 and 3,197.64 is: 4,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.02 : 15,892.50 = 3,197.64 : x
  2. Step 2: Convert to fraction form
    10,594.02/15,892.50 = 3,197.64/x
  3. Step 3: Cross multiply
    10,594.02x = 15,892.50 × 3,197.64
  4. Step 4: Simplify right side
    10,594.02x = 50,818,493.70
  5. Step 5: Solve for x
    x = 50,818,493.70/10,594.02
  6. Step 6: Final answer
    x = 4,796.90

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