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Finding the Fourth Proportional to 7,804.80, 11,707.20 and 2,874.60

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Solution

The fourth proportional to 7,804.80, 11,707.20 and 2,874.60 is: 4,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.80 : 11,707.20 = 2,874.60 : x
  2. Step 2: Convert to fraction form
    7,804.80/11,707.20 = 2,874.60/x
  3. Step 3: Cross multiply
    7,804.80x = 11,707.20 × 2,874.60
  4. Step 4: Simplify right side
    7,804.80x = 33,653,517.12
  5. Step 5: Solve for x
    x = 33,653,517.12/7,804.80
  6. Step 6: Final answer
    x = 4,311.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.