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Finding the Fourth Proportional to 6,856.88, 10,270.96 and 5,684.10

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Solution

The fourth proportional to 6,856.88, 10,270.96 and 5,684.10 is: 8,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.88 : 10,270.96 = 5,684.10 : x
  2. Step 2: Convert to fraction form
    6,856.88/10,270.96 = 5,684.10/x
  3. Step 3: Cross multiply
    6,856.88x = 10,270.96 × 5,684.10
  4. Step 4: Simplify right side
    6,856.88x = 58,381,163.74
  5. Step 5: Solve for x
    x = 58,381,163.74/6,856.88
  6. Step 6: Final answer
    x = 8,514.25

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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.