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Finding the Fourth Proportional to 6,838.46, 10,253.42 and 2,887.68

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Solution

The fourth proportional to 6,838.46, 10,253.42 and 2,887.68 is: 4,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.46 : 10,253.42 = 2,887.68 : x
  2. Step 2: Convert to fraction form
    6,838.46/10,253.42 = 2,887.68/x
  3. Step 3: Cross multiply
    6,838.46x = 10,253.42 × 2,887.68
  4. Step 4: Simplify right side
    6,838.46x = 29,608,630.71
  5. Step 5: Solve for x
    x = 29,608,630.71/6,838.46
  6. Step 6: Final answer
    x = 4,329.72

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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.