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Finding the Fourth Proportional to 10,273.92, 15,411.32 and 5,340.48

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Solution

The fourth proportional to 10,273.92, 15,411.32 and 5,340.48 is: 8,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.92 : 15,411.32 = 5,340.48 : x
  2. Step 2: Convert to fraction form
    10,273.92/15,411.32 = 5,340.48/x
  3. Step 3: Cross multiply
    10,273.92x = 15,411.32 × 5,340.48
  4. Step 4: Simplify right side
    10,273.92x = 82,303,846.23
  5. Step 5: Solve for x
    x = 82,303,846.23/10,273.92
  6. Step 6: Final answer
    x = 8,010.95

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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.