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Finding the Fourth Proportional to 6,728.88, 10,090.62 and 2,780.75

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Solution

The fourth proportional to 6,728.88, 10,090.62 and 2,780.75 is: 4,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.88 : 10,090.62 = 2,780.75 : x
  2. Step 2: Convert to fraction form
    6,728.88/10,090.62 = 2,780.75/x
  3. Step 3: Cross multiply
    6,728.88x = 10,090.62 × 2,780.75
  4. Step 4: Simplify right side
    6,728.88x = 28,059,441.11
  5. Step 5: Solve for x
    x = 28,059,441.11/6,728.88
  6. Step 6: Final answer
    x = 4,170.00

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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.