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Finding the Fourth Proportional to 7,808, 11,713.62 and 3,191

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Solution

The fourth proportional to 7,808, 11,713.62 and 3,191 is: 4,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808 : 11,713.62 = 3,191 : x
  2. Step 2: Convert to fraction form
    7,808/11,713.62 = 3,191/x
  3. Step 3: Cross multiply
    7,808x = 11,713.62 × 3,191
  4. Step 4: Simplify right side
    7,808x = 37,378,161.42
  5. Step 5: Solve for x
    x = 37,378,161.42/7,808
  6. Step 6: Final answer
    x = 4,787.16

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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.