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Finding the Fourth Proportional to 8,407.37, 12,611.41 and 2,484.27

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Solution

The fourth proportional to 8,407.37, 12,611.41 and 2,484.27 is: 3,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.37 : 12,611.41 = 2,484.27 : x
  2. Step 2: Convert to fraction form
    8,407.37/12,611.41 = 2,484.27/x
  3. Step 3: Cross multiply
    8,407.37x = 12,611.41 × 2,484.27
  4. Step 4: Simplify right side
    8,407.37x = 31,330,141.31
  5. Step 5: Solve for x
    x = 31,330,141.31/8,407.37
  6. Step 6: Final answer
    x = 3,726.51

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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.