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Finding the Fourth Proportional to 11,970.62, 16,507.20 and 7,936.05

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Solution

The fourth proportional to 11,970.62, 16,507.20 and 7,936.05 is: 10,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.62 : 16,507.20 = 7,936.05 : x
  2. Step 2: Convert to fraction form
    11,970.62/16,507.20 = 7,936.05/x
  3. Step 3: Cross multiply
    11,970.62x = 16,507.20 × 7,936.05
  4. Step 4: Simplify right side
    11,970.62x = 131,001,964.56
  5. Step 5: Solve for x
    x = 131,001,964.56/11,970.62
  6. Step 6: Final answer
    x = 10,943.62

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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.