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Finding the Fourth Proportional to 6,856.52, 10,285.15 and 2,176.90

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Solution

The fourth proportional to 6,856.52, 10,285.15 and 2,176.90 is: 3,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.52 : 10,285.15 = 2,176.90 : x
  2. Step 2: Convert to fraction form
    6,856.52/10,285.15 = 2,176.90/x
  3. Step 3: Cross multiply
    6,856.52x = 10,285.15 × 2,176.90
  4. Step 4: Simplify right side
    6,856.52x = 22,389,751.01
  5. Step 5: Solve for x
    x = 22,389,751.01/6,856.52
  6. Step 6: Final answer
    x = 3,265.47

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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.