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Finding the Fourth Proportional to 12,965.28, 17,892.08 and 7,662

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Solution

The fourth proportional to 12,965.28, 17,892.08 and 7,662 is: 10,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.28 : 17,892.08 = 7,662 : x
  2. Step 2: Convert to fraction form
    12,965.28/17,892.08 = 7,662/x
  3. Step 3: Cross multiply
    12,965.28x = 17,892.08 × 7,662
  4. Step 4: Simplify right side
    12,965.28x = 137,089,116.96
  5. Step 5: Solve for x
    x = 137,089,116.96/12,965.28
  6. Step 6: Final answer
    x = 10,573.56

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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.