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Finding the Fourth Proportional to 6,827.76, 10,246.50 and 5,269.32

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Solution

The fourth proportional to 6,827.76, 10,246.50 and 5,269.32 is: 7,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.76 : 10,246.50 = 5,269.32 : x
  2. Step 2: Convert to fraction form
    6,827.76/10,246.50 = 5,269.32/x
  3. Step 3: Cross multiply
    6,827.76x = 10,246.50 × 5,269.32
  4. Step 4: Simplify right side
    6,827.76x = 53,992,087.38
  5. Step 5: Solve for x
    x = 53,992,087.38/6,827.76
  6. Step 6: Final answer
    x = 7,907.73

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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.