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Finding the Fourth Proportional to 8,370.91, 12,558.41 and 3,865.86

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Solution

The fourth proportional to 8,370.91, 12,558.41 and 3,865.86 is: 5,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.91 : 12,558.41 = 3,865.86 : x
  2. Step 2: Convert to fraction form
    8,370.91/12,558.41 = 3,865.86/x
  3. Step 3: Cross multiply
    8,370.91x = 12,558.41 × 3,865.86
  4. Step 4: Simplify right side
    8,370.91x = 48,549,064.55
  5. Step 5: Solve for x
    x = 48,549,064.55/8,370.91
  6. Step 6: Final answer
    x = 5,799.74

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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.