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Finding the Fourth Proportional to 6,934.48, 10,401.31 and 2,004.01

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Solution

The fourth proportional to 6,934.48, 10,401.31 and 2,004.01 is: 3,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.48 : 10,401.31 = 2,004.01 : x
  2. Step 2: Convert to fraction form
    6,934.48/10,401.31 = 2,004.01/x
  3. Step 3: Cross multiply
    6,934.48x = 10,401.31 × 2,004.01
  4. Step 4: Simplify right side
    6,934.48x = 20,844,305.75
  5. Step 5: Solve for x
    x = 20,844,305.75/6,934.48
  6. Step 6: Final answer
    x = 3,005.89

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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.