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Finding the Fourth Proportional to 10,592.77, 15,889.26 and 3,197.29

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Solution

The fourth proportional to 10,592.77, 15,889.26 and 3,197.29 is: 4,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.77 : 15,889.26 = 3,197.29 : x
  2. Step 2: Convert to fraction form
    10,592.77/15,889.26 = 3,197.29/x
  3. Step 3: Cross multiply
    10,592.77x = 15,889.26 × 3,197.29
  4. Step 4: Simplify right side
    10,592.77x = 50,802,574.16
  5. Step 5: Solve for x
    x = 50,802,574.16/10,592.77
  6. Step 6: Final answer
    x = 4,795.97

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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.