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Finding the Fourth Proportional to 10,597.43, 15,896.24 and 3,201.95

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Solution

The fourth proportional to 10,597.43, 15,896.24 and 3,201.95 is: 4,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.43 : 15,896.24 = 3,201.95 : x
  2. Step 2: Convert to fraction form
    10,597.43/15,896.24 = 3,201.95/x
  3. Step 3: Cross multiply
    10,597.43x = 15,896.24 × 3,201.95
  4. Step 4: Simplify right side
    10,597.43x = 50,898,870.18
  5. Step 5: Solve for x
    x = 50,898,870.18/10,597.43
  6. Step 6: Final answer
    x = 4,802.95

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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.