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Finding the Fourth Proportional to 7,820.27, 11,728.35 and 2,891.32

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Solution

The fourth proportional to 7,820.27, 11,728.35 and 2,891.32 is: 4,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.27 : 11,728.35 = 2,891.32 : x
  2. Step 2: Convert to fraction form
    7,820.27/11,728.35 = 2,891.32/x
  3. Step 3: Cross multiply
    7,820.27x = 11,728.35 × 2,891.32
  4. Step 4: Simplify right side
    7,820.27x = 33,910,383.60
  5. Step 5: Solve for x
    x = 33,910,383.60/7,820.27
  6. Step 6: Final answer
    x = 4,336.22

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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.