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Finding the Fourth Proportional to 6,933.56, 10,400.04 and 2,003.40

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Solution

The fourth proportional to 6,933.56, 10,400.04 and 2,003.40 is: 3,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.56 : 10,400.04 = 2,003.40 : x
  2. Step 2: Convert to fraction form
    6,933.56/10,400.04 = 2,003.40/x
  3. Step 3: Cross multiply
    6,933.56x = 10,400.04 × 2,003.40
  4. Step 4: Simplify right side
    6,933.56x = 20,835,440.14
  5. Step 5: Solve for x
    x = 20,835,440.14/6,933.56
  6. Step 6: Final answer
    x = 3,005.01

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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.