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Finding the Fourth Proportional to 8,407.21, 11,601.84 and 4,630.37

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Solution

The fourth proportional to 8,407.21, 11,601.84 and 4,630.37 is: 6,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.21 : 11,601.84 = 4,630.37 : x
  2. Step 2: Convert to fraction form
    8,407.21/11,601.84 = 4,630.37/x
  3. Step 3: Cross multiply
    8,407.21x = 11,601.84 × 4,630.37
  4. Step 4: Simplify right side
    8,407.21x = 53,720,811.88
  5. Step 5: Solve for x
    x = 53,720,811.88/8,407.21
  6. Step 6: Final answer
    x = 6,389.85

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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.