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Finding the Fourth Proportional to 6,934.04, 10,403.04 and 3,425.12

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Solution

The fourth proportional to 6,934.04, 10,403.04 and 3,425.12 is: 5,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.04 : 10,403.04 = 3,425.12 : x
  2. Step 2: Convert to fraction form
    6,934.04/10,403.04 = 3,425.12/x
  3. Step 3: Cross multiply
    6,934.04x = 10,403.04 × 3,425.12
  4. Step 4: Simplify right side
    6,934.04x = 35,631,660.36
  5. Step 5: Solve for x
    x = 35,631,660.36/6,934.04
  6. Step 6: Final answer
    x = 5,138.66

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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.