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Finding the Fourth Proportional to 7,790.44, 10,744.74 and 4,645.96

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Solution

The fourth proportional to 7,790.44, 10,744.74 and 4,645.96 is: 6,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.44 : 10,744.74 = 4,645.96 : x
  2. Step 2: Convert to fraction form
    7,790.44/10,744.74 = 4,645.96/x
  3. Step 3: Cross multiply
    7,790.44x = 10,744.74 × 4,645.96
  4. Step 4: Simplify right side
    7,790.44x = 49,919,632.25
  5. Step 5: Solve for x
    x = 49,919,632.25/7,790.44
  6. Step 6: Final answer
    x = 6,407.81

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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.