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Finding the Fourth Proportional to 6,886.50, 10,329.75 and 2,269.86

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Solution

The fourth proportional to 6,886.50, 10,329.75 and 2,269.86 is: 3,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.50 : 10,329.75 = 2,269.86 : x
  2. Step 2: Convert to fraction form
    6,886.50/10,329.75 = 2,269.86/x
  3. Step 3: Cross multiply
    6,886.50x = 10,329.75 × 2,269.86
  4. Step 4: Simplify right side
    6,886.50x = 23,447,086.34
  5. Step 5: Solve for x
    x = 23,447,086.34/6,886.50
  6. Step 6: Final answer
    x = 3,404.79

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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.