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Finding the Fourth Proportional to 6,967.99, 10,452.97 and 2,038

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Solution

The fourth proportional to 6,967.99, 10,452.97 and 2,038 is: 3,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.99 : 10,452.97 = 2,038 : x
  2. Step 2: Convert to fraction form
    6,967.99/10,452.97 = 2,038/x
  3. Step 3: Cross multiply
    6,967.99x = 10,452.97 × 2,038
  4. Step 4: Simplify right side
    6,967.99x = 21,303,142.67
  5. Step 5: Solve for x
    x = 21,303,142.67/6,967.99
  6. Step 6: Final answer
    x = 3,057.29

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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.