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Finding the Fourth Proportional to 6,838.78, 10,254.50 and 3,543.70

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Solution

The fourth proportional to 6,838.78, 10,254.50 and 3,543.70 is: 5,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.78 : 10,254.50 = 3,543.70 : x
  2. Step 2: Convert to fraction form
    6,838.78/10,254.50 = 3,543.70/x
  3. Step 3: Cross multiply
    6,838.78x = 10,254.50 × 3,543.70
  4. Step 4: Simplify right side
    6,838.78x = 36,338,871.65
  5. Step 5: Solve for x
    x = 36,338,871.65/6,838.78
  6. Step 6: Final answer
    x = 5,313.65

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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.