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Finding the Fourth Proportional to 6,892.12, 10,333.02 and 3,431.80

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Solution

The fourth proportional to 6,892.12, 10,333.02 and 3,431.80 is: 5,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.12 : 10,333.02 = 3,431.80 : x
  2. Step 2: Convert to fraction form
    6,892.12/10,333.02 = 3,431.80/x
  3. Step 3: Cross multiply
    6,892.12x = 10,333.02 × 3,431.80
  4. Step 4: Simplify right side
    6,892.12x = 35,460,858.04
  5. Step 5: Solve for x
    x = 35,460,858.04/6,892.12
  6. Step 6: Final answer
    x = 5,145.13

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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.