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Finding the Fourth Proportional to 11,960.49, 16,509.15 and 7,711.56

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Solution

The fourth proportional to 11,960.49, 16,509.15 and 7,711.56 is: 10,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.49 : 16,509.15 = 7,711.56 : x
  2. Step 2: Convert to fraction form
    11,960.49/16,509.15 = 7,711.56/x
  3. Step 3: Cross multiply
    11,960.49x = 16,509.15 × 7,711.56
  4. Step 4: Simplify right side
    11,960.49x = 127,311,300.77
  5. Step 5: Solve for x
    x = 127,311,300.77/11,960.49
  6. Step 6: Final answer
    x = 10,644.32

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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.