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Finding the Fourth Proportional to 6,838.56, 10,264.32 and 3,378.24

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Solution

The fourth proportional to 6,838.56, 10,264.32 and 3,378.24 is: 5,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.56 : 10,264.32 = 3,378.24 : x
  2. Step 2: Convert to fraction form
    6,838.56/10,264.32 = 3,378.24/x
  3. Step 3: Cross multiply
    6,838.56x = 10,264.32 × 3,378.24
  4. Step 4: Simplify right side
    6,838.56x = 34,675,336.40
  5. Step 5: Solve for x
    x = 34,675,336.40/6,838.56
  6. Step 6: Final answer
    x = 5,070.56

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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.