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Finding the Fourth Proportional to 8,157.66, 12,232.62 and 3,162.37

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Solution

The fourth proportional to 8,157.66, 12,232.62 and 3,162.37 is: 4,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.66 : 12,232.62 = 3,162.37 : x
  2. Step 2: Convert to fraction form
    8,157.66/12,232.62 = 3,162.37/x
  3. Step 3: Cross multiply
    8,157.66x = 12,232.62 × 3,162.37
  4. Step 4: Simplify right side
    8,157.66x = 38,684,054.70
  5. Step 5: Solve for x
    x = 38,684,054.70/8,157.66
  6. Step 6: Final answer
    x = 4,742.05

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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.