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Finding the Fourth Proportional to 10,940.40, 16,374.15 and 9,628.20

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Solution

The fourth proportional to 10,940.40, 16,374.15 and 9,628.20 is: 14,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.40 : 16,374.15 = 9,628.20 : x
  2. Step 2: Convert to fraction form
    10,940.40/16,374.15 = 9,628.20/x
  3. Step 3: Cross multiply
    10,940.40x = 16,374.15 × 9,628.20
  4. Step 4: Simplify right side
    10,940.40x = 157,653,591.03
  5. Step 5: Solve for x
    x = 157,653,591.03/10,940.40
  6. Step 6: Final answer
    x = 14,410.22

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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.