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Finding the Fourth Proportional to 6,807.16, 10,205.94 and 2,643.70

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Solution

The fourth proportional to 6,807.16, 10,205.94 and 2,643.70 is: 3,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.16 : 10,205.94 = 2,643.70 : x
  2. Step 2: Convert to fraction form
    6,807.16/10,205.94 = 2,643.70/x
  3. Step 3: Cross multiply
    6,807.16x = 10,205.94 × 2,643.70
  4. Step 4: Simplify right side
    6,807.16x = 26,981,443.58
  5. Step 5: Solve for x
    x = 26,981,443.58/6,807.16
  6. Step 6: Final answer
    x = 3,963.69

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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.