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Finding the Fourth Proportional to 12,561.28, 17,334.71 and 7,257.80

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Solution

The fourth proportional to 12,561.28, 17,334.71 and 7,257.80 is: 10,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.28 : 17,334.71 = 7,257.80 : x
  2. Step 2: Convert to fraction form
    12,561.28/17,334.71 = 7,257.80/x
  3. Step 3: Cross multiply
    12,561.28x = 17,334.71 × 7,257.80
  4. Step 4: Simplify right side
    12,561.28x = 125,811,892.50
  5. Step 5: Solve for x
    x = 125,811,892.50/12,561.28
  6. Step 6: Final answer
    x = 10,015.85

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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.