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Finding the Fourth Proportional to 6,856.92, 10,281.53 and 2,176.06

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Solution

The fourth proportional to 6,856.92, 10,281.53 and 2,176.06 is: 3,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.92 : 10,281.53 = 2,176.06 : x
  2. Step 2: Convert to fraction form
    6,856.92/10,281.53 = 2,176.06/x
  3. Step 3: Cross multiply
    6,856.92x = 10,281.53 × 2,176.06
  4. Step 4: Simplify right side
    6,856.92x = 22,373,196.27
  5. Step 5: Solve for x
    x = 22,373,196.27/6,856.92
  6. Step 6: Final answer
    x = 3,262.86

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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.