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Finding the Fourth Proportional to 6,803.36, 10,204.32 and 2,186

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Solution

The fourth proportional to 6,803.36, 10,204.32 and 2,186 is: 3,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.36 : 10,204.32 = 2,186 : x
  2. Step 2: Convert to fraction form
    6,803.36/10,204.32 = 2,186/x
  3. Step 3: Cross multiply
    6,803.36x = 10,204.32 × 2,186
  4. Step 4: Simplify right side
    6,803.36x = 22,306,643.52
  5. Step 5: Solve for x
    x = 22,306,643.52/6,803.36
  6. Step 6: Final answer
    x = 3,278.77

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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.