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Finding the Fourth Proportional to 6,772.56, 10,157.16 and 4,594.80

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Solution

The fourth proportional to 6,772.56, 10,157.16 and 4,594.80 is: 6,891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.56 : 10,157.16 = 4,594.80 : x
  2. Step 2: Convert to fraction form
    6,772.56/10,157.16 = 4,594.80/x
  3. Step 3: Cross multiply
    6,772.56x = 10,157.16 × 4,594.80
  4. Step 4: Simplify right side
    6,772.56x = 46,670,118.77
  5. Step 5: Solve for x
    x = 46,670,118.77/6,772.56
  6. Step 6: Final answer
    x = 6,891.06

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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.