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Finding the Fourth Proportional to 6,670.56, 10,002.06 and 2,772.84

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Solution

The fourth proportional to 6,670.56, 10,002.06 and 2,772.84 is: 4,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.56 : 10,002.06 = 2,772.84 : x
  2. Step 2: Convert to fraction form
    6,670.56/10,002.06 = 2,772.84/x
  3. Step 3: Cross multiply
    6,670.56x = 10,002.06 × 2,772.84
  4. Step 4: Simplify right side
    6,670.56x = 27,734,112.05
  5. Step 5: Solve for x
    x = 27,734,112.05/6,670.56
  6. Step 6: Final answer
    x = 4,157.69

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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.