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Finding the Fourth Proportional to 6,856.89, 10,264.50 and 4,393.46

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Solution

The fourth proportional to 6,856.89, 10,264.50 and 4,393.46 is: 6,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.89 : 10,264.50 = 4,393.46 : x
  2. Step 2: Convert to fraction form
    6,856.89/10,264.50 = 4,393.46/x
  3. Step 3: Cross multiply
    6,856.89x = 10,264.50 × 4,393.46
  4. Step 4: Simplify right side
    6,856.89x = 45,096,618.85
  5. Step 5: Solve for x
    x = 45,096,618.85/6,856.89
  6. Step 6: Final answer
    x = 6,576.83

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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.