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Finding the Fourth Proportional to 6,706.13, 10,055.91 and 2,025.24

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Solution

The fourth proportional to 6,706.13, 10,055.91 and 2,025.24 is: 3,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.13 : 10,055.91 = 2,025.24 : x
  2. Step 2: Convert to fraction form
    6,706.13/10,055.91 = 2,025.24/x
  3. Step 3: Cross multiply
    6,706.13x = 10,055.91 × 2,025.24
  4. Step 4: Simplify right side
    6,706.13x = 20,365,601.05
  5. Step 5: Solve for x
    x = 20,365,601.05/6,706.13
  6. Step 6: Final answer
    x = 3,036.87

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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.