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Finding the Fourth Proportional to 11,914.54, 16,439.34 and 7,937.80

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Solution

The fourth proportional to 11,914.54, 16,439.34 and 7,937.80 is: 10,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.54 : 16,439.34 = 7,937.80 : x
  2. Step 2: Convert to fraction form
    11,914.54/16,439.34 = 7,937.80/x
  3. Step 3: Cross multiply
    11,914.54x = 16,439.34 × 7,937.80
  4. Step 4: Simplify right side
    11,914.54x = 130,492,193.05
  5. Step 5: Solve for x
    x = 130,492,193.05/11,914.54
  6. Step 6: Final answer
    x = 10,952.35

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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.