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Finding the Fourth Proportional to 6,861.69, 10,292.54 and 2,181.74

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Solution

The fourth proportional to 6,861.69, 10,292.54 and 2,181.74 is: 3,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.69 : 10,292.54 = 2,181.74 : x
  2. Step 2: Convert to fraction form
    6,861.69/10,292.54 = 2,181.74/x
  3. Step 3: Cross multiply
    6,861.69x = 10,292.54 × 2,181.74
  4. Step 4: Simplify right side
    6,861.69x = 22,455,583.85
  5. Step 5: Solve for x
    x = 22,455,583.85/6,861.69
  6. Step 6: Final answer
    x = 3,272.60

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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.