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Finding the Fourth Proportional to 7,763.08, 11,648.94 and 3,149.32

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Solution

The fourth proportional to 7,763.08, 11,648.94 and 3,149.32 is: 4,725.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.08 : 11,648.94 = 3,149.32 : x
  2. Step 2: Convert to fraction form
    7,763.08/11,648.94 = 3,149.32/x
  3. Step 3: Cross multiply
    7,763.08x = 11,648.94 × 3,149.32
  4. Step 4: Simplify right side
    7,763.08x = 36,686,239.72
  5. Step 5: Solve for x
    x = 36,686,239.72/7,763.08
  6. Step 6: Final answer
    x = 4,725.73

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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.