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Finding the Fourth Proportional to 11,960.24, 16,500.36 and 7,710.80

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Solution

The fourth proportional to 11,960.24, 16,500.36 and 7,710.80 is: 10,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.24 : 16,500.36 = 7,710.80 : x
  2. Step 2: Convert to fraction form
    11,960.24/16,500.36 = 7,710.80/x
  3. Step 3: Cross multiply
    11,960.24x = 16,500.36 × 7,710.80
  4. Step 4: Simplify right side
    11,960.24x = 127,230,975.89
  5. Step 5: Solve for x
    x = 127,230,975.89/11,960.24
  6. Step 6: Final answer
    x = 10,637.83

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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.