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Finding the Fourth Proportional to 6,856.72, 10,287.60 and 3,348.16

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Solution

The fourth proportional to 6,856.72, 10,287.60 and 3,348.16 is: 5,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.72 : 10,287.60 = 3,348.16 : x
  2. Step 2: Convert to fraction form
    6,856.72/10,287.60 = 3,348.16/x
  3. Step 3: Cross multiply
    6,856.72x = 10,287.60 × 3,348.16
  4. Step 4: Simplify right side
    6,856.72x = 34,444,530.82
  5. Step 5: Solve for x
    x = 34,444,530.82/6,856.72
  6. Step 6: Final answer
    x = 5,023.47

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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.