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Finding the Fourth Proportional to 6,685.16, 10,027.86 and 2,004.08

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Solution

The fourth proportional to 6,685.16, 10,027.86 and 2,004.08 is: 3,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.16 : 10,027.86 = 2,004.08 : x
  2. Step 2: Convert to fraction form
    6,685.16/10,027.86 = 2,004.08/x
  3. Step 3: Cross multiply
    6,685.16x = 10,027.86 × 2,004.08
  4. Step 4: Simplify right side
    6,685.16x = 20,096,633.67
  5. Step 5: Solve for x
    x = 20,096,633.67/6,685.16
  6. Step 6: Final answer
    x = 3,006.16

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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.