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Finding the Fourth Proportional to 6,857.08, 10,285 and 3,345.72

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Solution

The fourth proportional to 6,857.08, 10,285 and 3,345.72 is: 5,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.08 : 10,285 = 3,345.72 : x
  2. Step 2: Convert to fraction form
    6,857.08/10,285 = 3,345.72/x
  3. Step 3: Cross multiply
    6,857.08x = 10,285 × 3,345.72
  4. Step 4: Simplify right side
    6,857.08x = 34,410,730.20
  5. Step 5: Solve for x
    x = 34,410,730.20/6,857.08
  6. Step 6: Final answer
    x = 5,018.28

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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.