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Finding the Fourth Proportional to 10,744.94, 16,101.83 and 7,631.04

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Solution

The fourth proportional to 10,744.94, 16,101.83 and 7,631.04 is: 11,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.94 : 16,101.83 = 7,631.04 : x
  2. Step 2: Convert to fraction form
    10,744.94/16,101.83 = 7,631.04/x
  3. Step 3: Cross multiply
    10,744.94x = 16,101.83 × 7,631.04
  4. Step 4: Simplify right side
    10,744.94x = 122,873,670.65
  5. Step 5: Solve for x
    x = 122,873,670.65/10,744.94
  6. Step 6: Final answer
    x = 11,435.50

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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.