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Finding the Fourth Proportional to 8,471.09, 11,664.02 and 7,525.24

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Solution

The fourth proportional to 8,471.09, 11,664.02 and 7,525.24 is: 10,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.09 : 11,664.02 = 7,525.24 : x
  2. Step 2: Convert to fraction form
    8,471.09/11,664.02 = 7,525.24/x
  3. Step 3: Cross multiply
    8,471.09x = 11,664.02 × 7,525.24
  4. Step 4: Simplify right side
    8,471.09x = 87,774,453.92
  5. Step 5: Solve for x
    x = 87,774,453.92/8,471.09
  6. Step 6: Final answer
    x = 10,361.65

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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.