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Finding the Fourth Proportional to 8,525.37, 11,763.23 and 4,940.12

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Solution

The fourth proportional to 8,525.37, 11,763.23 and 4,940.12 is: 6,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.37 : 11,763.23 = 4,940.12 : x
  2. Step 2: Convert to fraction form
    8,525.37/11,763.23 = 4,940.12/x
  3. Step 3: Cross multiply
    8,525.37x = 11,763.23 × 4,940.12
  4. Step 4: Simplify right side
    8,525.37x = 58,111,684.27
  5. Step 5: Solve for x
    x = 58,111,684.27/8,525.37
  6. Step 6: Final answer
    x = 6,816.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.