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Finding the Fourth Proportional to 6,738.22, 10,104.90 and 2,840.50

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Solution

The fourth proportional to 6,738.22, 10,104.90 and 2,840.50 is: 4,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.22 : 10,104.90 = 2,840.50 : x
  2. Step 2: Convert to fraction form
    6,738.22/10,104.90 = 2,840.50/x
  3. Step 3: Cross multiply
    6,738.22x = 10,104.90 × 2,840.50
  4. Step 4: Simplify right side
    6,738.22x = 28,702,968.45
  5. Step 5: Solve for x
    x = 28,702,968.45/6,738.22
  6. Step 6: Final answer
    x = 4,259.73

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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.