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Finding the Fourth Proportional to 7,277.78, 10,043.49 and 4,091.14

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Solution

The fourth proportional to 7,277.78, 10,043.49 and 4,091.14 is: 5,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.78 : 10,043.49 = 4,091.14 : x
  2. Step 2: Convert to fraction form
    7,277.78/10,043.49 = 4,091.14/x
  3. Step 3: Cross multiply
    7,277.78x = 10,043.49 × 4,091.14
  4. Step 4: Simplify right side
    7,277.78x = 41,089,323.68
  5. Step 5: Solve for x
    x = 41,089,323.68/7,277.78
  6. Step 6: Final answer
    x = 5,645.86

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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.