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Finding the Fourth Proportional to 7,804.94, 10,771.84 and 4,448.96

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Solution

The fourth proportional to 7,804.94, 10,771.84 and 4,448.96 is: 6,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.94 : 10,771.84 = 4,448.96 : x
  2. Step 2: Convert to fraction form
    7,804.94/10,771.84 = 4,448.96/x
  3. Step 3: Cross multiply
    7,804.94x = 10,771.84 × 4,448.96
  4. Step 4: Simplify right side
    7,804.94x = 47,923,485.29
  5. Step 5: Solve for x
    x = 47,923,485.29/7,804.94
  6. Step 6: Final answer
    x = 6,140.15

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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.