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Finding the Fourth Proportional to 6,686.72, 10,026.92 and 2,004.92

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Solution

The fourth proportional to 6,686.72, 10,026.92 and 2,004.92 is: 3,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.72 : 10,026.92 = 2,004.92 : x
  2. Step 2: Convert to fraction form
    6,686.72/10,026.92 = 2,004.92/x
  3. Step 3: Cross multiply
    6,686.72x = 10,026.92 × 2,004.92
  4. Step 4: Simplify right side
    6,686.72x = 20,103,172.45
  5. Step 5: Solve for x
    x = 20,103,172.45/6,686.72
  6. Step 6: Final answer
    x = 3,006.43

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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.