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Finding the Fourth Proportional to 7,980.24, 11,973.60 and 3,822.24

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Solution

The fourth proportional to 7,980.24, 11,973.60 and 3,822.24 is: 5,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.24 : 11,973.60 = 3,822.24 : x
  2. Step 2: Convert to fraction form
    7,980.24/11,973.60 = 3,822.24/x
  3. Step 3: Cross multiply
    7,980.24x = 11,973.60 × 3,822.24
  4. Step 4: Simplify right side
    7,980.24x = 45,765,972.86
  5. Step 5: Solve for x
    x = 45,765,972.86/7,980.24
  6. Step 6: Final answer
    x = 5,734.91

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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.