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Finding the Fourth Proportional to 6,886.69, 10,330.07 and 2,269.69

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Solution

The fourth proportional to 6,886.69, 10,330.07 and 2,269.69 is: 3,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.69 : 10,330.07 = 2,269.69 : x
  2. Step 2: Convert to fraction form
    6,886.69/10,330.07 = 2,269.69/x
  3. Step 3: Cross multiply
    6,886.69x = 10,330.07 × 2,269.69
  4. Step 4: Simplify right side
    6,886.69x = 23,446,019.40
  5. Step 5: Solve for x
    x = 23,446,019.40/6,886.69
  6. Step 6: Final answer
    x = 3,404.54

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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.