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Finding the Fourth Proportional to 7,427.60, 10,249.70 and 4,069.80

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Solution

The fourth proportional to 7,427.60, 10,249.70 and 4,069.80 is: 5,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.60 : 10,249.70 = 4,069.80 : x
  2. Step 2: Convert to fraction form
    7,427.60/10,249.70 = 4,069.80/x
  3. Step 3: Cross multiply
    7,427.60x = 10,249.70 × 4,069.80
  4. Step 4: Simplify right side
    7,427.60x = 41,714,229.06
  5. Step 5: Solve for x
    x = 41,714,229.06/7,427.60
  6. Step 6: Final answer
    x = 5,616.11

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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.