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Finding the Fourth Proportional to 10,441.36, 15,662.59 and 2,650.24

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Solution

The fourth proportional to 10,441.36, 15,662.59 and 2,650.24 is: 3,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.36 : 15,662.59 = 2,650.24 : x
  2. Step 2: Convert to fraction form
    10,441.36/15,662.59 = 2,650.24/x
  3. Step 3: Cross multiply
    10,441.36x = 15,662.59 × 2,650.24
  4. Step 4: Simplify right side
    10,441.36x = 41,509,622.52
  5. Step 5: Solve for x
    x = 41,509,622.52/10,441.36
  6. Step 6: Final answer
    x = 3,975.50

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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.