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Finding the Fourth Proportional to 10,003.20, 13,806.72 and 6,228.48

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Solution

The fourth proportional to 10,003.20, 13,806.72 and 6,228.48 is: 8,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.20 : 13,806.72 = 6,228.48 : x
  2. Step 2: Convert to fraction form
    10,003.20/13,806.72 = 6,228.48/x
  3. Step 3: Cross multiply
    10,003.20x = 13,806.72 × 6,228.48
  4. Step 4: Simplify right side
    10,003.20x = 85,994,879.39
  5. Step 5: Solve for x
    x = 85,994,879.39/10,003.20
  6. Step 6: Final answer
    x = 8,596.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.