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Finding the Fourth Proportional to 7,812, 11,719.62 and 3,195

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Solution

The fourth proportional to 7,812, 11,719.62 and 3,195 is: 4,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812 : 11,719.62 = 3,195 : x
  2. Step 2: Convert to fraction form
    7,812/11,719.62 = 3,195/x
  3. Step 3: Cross multiply
    7,812x = 11,719.62 × 3,195
  4. Step 4: Simplify right side
    7,812x = 37,444,185.90
  5. Step 5: Solve for x
    x = 37,444,185.90/7,812
  6. Step 6: Final answer
    x = 4,793.16

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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.