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Finding the Fourth Proportional to 6,696.57, 10,051.08 and 3,412.13

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Solution

The fourth proportional to 6,696.57, 10,051.08 and 3,412.13 is: 5,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.57 : 10,051.08 = 3,412.13 : x
  2. Step 2: Convert to fraction form
    6,696.57/10,051.08 = 3,412.13/x
  3. Step 3: Cross multiply
    6,696.57x = 10,051.08 × 3,412.13
  4. Step 4: Simplify right side
    6,696.57x = 34,295,541.35
  5. Step 5: Solve for x
    x = 34,295,541.35/6,696.57
  6. Step 6: Final answer
    x = 5,121.36

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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.