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Finding the Fourth Proportional to 8,409.24, 12,625.02 and 7,184.52

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Solution

The fourth proportional to 8,409.24, 12,625.02 and 7,184.52 is: 10,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.24 : 12,625.02 = 7,184.52 : x
  2. Step 2: Convert to fraction form
    8,409.24/12,625.02 = 7,184.52/x
  3. Step 3: Cross multiply
    8,409.24x = 12,625.02 × 7,184.52
  4. Step 4: Simplify right side
    8,409.24x = 90,704,708.69
  5. Step 5: Solve for x
    x = 90,704,708.69/8,409.24
  6. Step 6: Final answer
    x = 10,786.31

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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.