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Finding the Fourth Proportional to 10,592.96, 15,889.55 and 3,197.48

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Solution

The fourth proportional to 10,592.96, 15,889.55 and 3,197.48 is: 4,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.96 : 15,889.55 = 3,197.48 : x
  2. Step 2: Convert to fraction form
    10,592.96/15,889.55 = 3,197.48/x
  3. Step 3: Cross multiply
    10,592.96x = 15,889.55 × 3,197.48
  4. Step 4: Simplify right side
    10,592.96x = 50,806,542.07
  5. Step 5: Solve for x
    x = 50,806,542.07/10,592.96
  6. Step 6: Final answer
    x = 4,796.25

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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.