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Finding the Fourth Proportional to 6,702.69, 10,055.46 and 2,023.05

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Solution

The fourth proportional to 6,702.69, 10,055.46 and 2,023.05 is: 3,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.69 : 10,055.46 = 2,023.05 : x
  2. Step 2: Convert to fraction form
    6,702.69/10,055.46 = 2,023.05/x
  3. Step 3: Cross multiply
    6,702.69x = 10,055.46 × 2,023.05
  4. Step 4: Simplify right side
    6,702.69x = 20,342,698.35
  5. Step 5: Solve for x
    x = 20,342,698.35/6,702.69
  6. Step 6: Final answer
    x = 3,035.01

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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.