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Finding the Fourth Proportional to 7,754.61, 11,628.87 and 3,369.07

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Solution

The fourth proportional to 7,754.61, 11,628.87 and 3,369.07 is: 5,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.61 : 11,628.87 = 3,369.07 : x
  2. Step 2: Convert to fraction form
    7,754.61/11,628.87 = 3,369.07/x
  3. Step 3: Cross multiply
    7,754.61x = 11,628.87 × 3,369.07
  4. Step 4: Simplify right side
    7,754.61x = 39,178,477.05
  5. Step 5: Solve for x
    x = 39,178,477.05/7,754.61
  6. Step 6: Final answer
    x = 5,052.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.