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Finding the Fourth Proportional to 6,696.17, 10,034.63 and 3,768.29

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Solution

The fourth proportional to 6,696.17, 10,034.63 and 3,768.29 is: 5,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.17 : 10,034.63 = 3,768.29 : x
  2. Step 2: Convert to fraction form
    6,696.17/10,034.63 = 3,768.29/x
  3. Step 3: Cross multiply
    6,696.17x = 10,034.63 × 3,768.29
  4. Step 4: Simplify right side
    6,696.17x = 37,813,326.87
  5. Step 5: Solve for x
    x = 37,813,326.87/6,696.17
  6. Step 6: Final answer
    x = 5,647.01

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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.