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Finding the Fourth Proportional to 6,957.10, 10,436.01 and 3,398.14

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Solution

The fourth proportional to 6,957.10, 10,436.01 and 3,398.14 is: 5,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.10 : 10,436.01 = 3,398.14 : x
  2. Step 2: Convert to fraction form
    6,957.10/10,436.01 = 3,398.14/x
  3. Step 3: Cross multiply
    6,957.10x = 10,436.01 × 3,398.14
  4. Step 4: Simplify right side
    6,957.10x = 35,463,023.02
  5. Step 5: Solve for x
    x = 35,463,023.02/6,957.10
  6. Step 6: Final answer
    x = 5,097.39

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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.