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Finding the Fourth Proportional to 6,825.92, 10,238.52 and 3,362

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Solution

The fourth proportional to 6,825.92, 10,238.52 and 3,362 is: 5,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.92 : 10,238.52 = 3,362 : x
  2. Step 2: Convert to fraction form
    6,825.92/10,238.52 = 3,362/x
  3. Step 3: Cross multiply
    6,825.92x = 10,238.52 × 3,362
  4. Step 4: Simplify right side
    6,825.92x = 34,421,904.24
  5. Step 5: Solve for x
    x = 34,421,904.24/6,825.92
  6. Step 6: Final answer
    x = 5,042.82

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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.