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Finding the Fourth Proportional to 11,936.40, 16,477.20 and 7,219.50

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Solution

The fourth proportional to 11,936.40, 16,477.20 and 7,219.50 is: 9,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936.40 : 16,477.20 = 7,219.50 : x
  2. Step 2: Convert to fraction form
    11,936.40/16,477.20 = 7,219.50/x
  3. Step 3: Cross multiply
    11,936.40x = 16,477.20 × 7,219.50
  4. Step 4: Simplify right side
    11,936.40x = 118,957,145.40
  5. Step 5: Solve for x
    x = 118,957,145.40/11,936.40
  6. Step 6: Final answer
    x = 9,965.91

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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.