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Finding the Fourth Proportional to 8,555.92, 11,806.48 and 4,778.79

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Solution

The fourth proportional to 8,555.92, 11,806.48 and 4,778.79 is: 6,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,555.92 : 11,806.48 = 4,778.79 : x
  2. Step 2: Convert to fraction form
    8,555.92/11,806.48 = 4,778.79/x
  3. Step 3: Cross multiply
    8,555.92x = 11,806.48 × 4,778.79
  4. Step 4: Simplify right side
    8,555.92x = 56,420,650.26
  5. Step 5: Solve for x
    x = 56,420,650.26/8,555.92
  6. Step 6: Final answer
    x = 6,594.34

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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.