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Finding the Fourth Proportional to 6,774.38, 10,163.45 and 2,827.50

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Solution

The fourth proportional to 6,774.38, 10,163.45 and 2,827.50 is: 4,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.38 : 10,163.45 = 2,827.50 : x
  2. Step 2: Convert to fraction form
    6,774.38/10,163.45 = 2,827.50/x
  3. Step 3: Cross multiply
    6,774.38x = 10,163.45 × 2,827.50
  4. Step 4: Simplify right side
    6,774.38x = 28,737,140.74
  5. Step 5: Solve for x
    x = 28,737,140.74/6,774.38
  6. Step 6: Final answer
    x = 4,242.04

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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.