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Finding the Fourth Proportional to 6,937.92, 10,405.44 and 2,006.46

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Solution

The fourth proportional to 6,937.92, 10,405.44 and 2,006.46 is: 3,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.92 : 10,405.44 = 2,006.46 : x
  2. Step 2: Convert to fraction form
    6,937.92/10,405.44 = 2,006.46/x
  3. Step 3: Cross multiply
    6,937.92x = 10,405.44 × 2,006.46
  4. Step 4: Simplify right side
    6,937.92x = 20,878,099.14
  5. Step 5: Solve for x
    x = 20,878,099.14/6,937.92
  6. Step 6: Final answer
    x = 3,009.27

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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.