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Finding the Fourth Proportional to 13,650, 18,837 and 7,762

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Solution

The fourth proportional to 13,650, 18,837 and 7,762 is: 10,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650 : 18,837 = 7,762 : x
  2. Step 2: Convert to fraction form
    13,650/18,837 = 7,762/x
  3. Step 3: Cross multiply
    13,650x = 18,837 × 7,762
  4. Step 4: Simplify right side
    13,650x = 146,212,794
  5. Step 5: Solve for x
    x = 146,212,794/13,650
  6. Step 6: Final answer
    x = 10,711.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.