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Finding the Fourth Proportional to 6,706.33, 10,056.22 and 2,025.47

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Solution

The fourth proportional to 6,706.33, 10,056.22 and 2,025.47 is: 3,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.33 : 10,056.22 = 2,025.47 : x
  2. Step 2: Convert to fraction form
    6,706.33/10,056.22 = 2,025.47/x
  3. Step 3: Cross multiply
    6,706.33x = 10,056.22 × 2,025.47
  4. Step 4: Simplify right side
    6,706.33x = 20,368,592.00
  5. Step 5: Solve for x
    x = 20,368,592.00/6,706.33
  6. Step 6: Final answer
    x = 3,037.22

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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.