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Finding the Fourth Proportional to 6,857.36, 10,278.76 and 3,567.16

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Solution

The fourth proportional to 6,857.36, 10,278.76 and 3,567.16 is: 5,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.36 : 10,278.76 = 3,567.16 : x
  2. Step 2: Convert to fraction form
    6,857.36/10,278.76 = 3,567.16/x
  3. Step 3: Cross multiply
    6,857.36x = 10,278.76 × 3,567.16
  4. Step 4: Simplify right side
    6,857.36x = 36,665,981.52
  5. Step 5: Solve for x
    x = 36,665,981.52/6,857.36
  6. Step 6: Final answer
    x = 5,346.95

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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.