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Finding the Fourth Proportional to 6,891.92, 10,338.36 and 2,278.16

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Solution

The fourth proportional to 6,891.92, 10,338.36 and 2,278.16 is: 3,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.92 : 10,338.36 = 2,278.16 : x
  2. Step 2: Convert to fraction form
    6,891.92/10,338.36 = 2,278.16/x
  3. Step 3: Cross multiply
    6,891.92x = 10,338.36 × 2,278.16
  4. Step 4: Simplify right side
    6,891.92x = 23,552,438.22
  5. Step 5: Solve for x
    x = 23,552,438.22/6,891.92
  6. Step 6: Final answer
    x = 3,417.40

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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.