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Finding the Fourth Proportional to 6,685.32, 10,027.80 and 2,005.32

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Solution

The fourth proportional to 6,685.32, 10,027.80 and 2,005.32 is: 3,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.32 : 10,027.80 = 2,005.32 : x
  2. Step 2: Convert to fraction form
    6,685.32/10,027.80 = 2,005.32/x
  3. Step 3: Cross multiply
    6,685.32x = 10,027.80 × 2,005.32
  4. Step 4: Simplify right side
    6,685.32x = 20,108,947.90
  5. Step 5: Solve for x
    x = 20,108,947.90/6,685.32
  6. Step 6: Final answer
    x = 3,007.93

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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.