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Finding the Fourth Proportional to 8,208.60, 11,328.38 and 4,672.12

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Solution

The fourth proportional to 8,208.60, 11,328.38 and 4,672.12 is: 6,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.60 : 11,328.38 = 4,672.12 : x
  2. Step 2: Convert to fraction form
    8,208.60/11,328.38 = 4,672.12/x
  3. Step 3: Cross multiply
    8,208.60x = 11,328.38 × 4,672.12
  4. Step 4: Simplify right side
    8,208.60x = 52,927,550.77
  5. Step 5: Solve for x
    x = 52,927,550.77/8,208.60
  6. Step 6: Final answer
    x = 6,447.82

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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.