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Finding the Fourth Proportional to 6,696.36, 10,046.16 and 2,798.64

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Solution

The fourth proportional to 6,696.36, 10,046.16 and 2,798.64 is: 4,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.36 : 10,046.16 = 2,798.64 : x
  2. Step 2: Convert to fraction form
    6,696.36/10,046.16 = 2,798.64/x
  3. Step 3: Cross multiply
    6,696.36x = 10,046.16 × 2,798.64
  4. Step 4: Simplify right side
    6,696.36x = 28,115,585.22
  5. Step 5: Solve for x
    x = 28,115,585.22/6,696.36
  6. Step 6: Final answer
    x = 4,198.64

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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.