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Finding the Fourth Proportional to 6,861.97, 10,293.86 and 2,478.84

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Solution

The fourth proportional to 6,861.97, 10,293.86 and 2,478.84 is: 3,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.97 : 10,293.86 = 2,478.84 : x
  2. Step 2: Convert to fraction form
    6,861.97/10,293.86 = 2,478.84/x
  3. Step 3: Cross multiply
    6,861.97x = 10,293.86 × 2,478.84
  4. Step 4: Simplify right side
    6,861.97x = 25,516,831.92
  5. Step 5: Solve for x
    x = 25,516,831.92/6,861.97
  6. Step 6: Final answer
    x = 3,718.59

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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.