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Finding the Fourth Proportional to 10,593.16, 15,889.31 and 3,197.42

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Solution

The fourth proportional to 10,593.16, 15,889.31 and 3,197.42 is: 4,796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.16 : 15,889.31 = 3,197.42 : x
  2. Step 2: Convert to fraction form
    10,593.16/15,889.31 = 3,197.42/x
  3. Step 3: Cross multiply
    10,593.16x = 15,889.31 × 3,197.42
  4. Step 4: Simplify right side
    10,593.16x = 50,804,773.72
  5. Step 5: Solve for x
    x = 50,804,773.72/10,593.16
  6. Step 6: Final answer
    x = 4,796.00

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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.