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Finding the Fourth Proportional to 7,871.20, 11,804.28 and 2,605.24

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Solution

The fourth proportional to 7,871.20, 11,804.28 and 2,605.24 is: 3,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.20 : 11,804.28 = 2,605.24 : x
  2. Step 2: Convert to fraction form
    7,871.20/11,804.28 = 2,605.24/x
  3. Step 3: Cross multiply
    7,871.20x = 11,804.28 × 2,605.24
  4. Step 4: Simplify right side
    7,871.20x = 30,752,982.43
  5. Step 5: Solve for x
    x = 30,752,982.43/7,871.20
  6. Step 6: Final answer
    x = 3,907.03

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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.