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Finding the Fourth Proportional to 7,980.40, 11,992.56 and 4,285.36

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Solution

The fourth proportional to 7,980.40, 11,992.56 and 4,285.36 is: 6,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.40 : 11,992.56 = 4,285.36 : x
  2. Step 2: Convert to fraction form
    7,980.40/11,992.56 = 4,285.36/x
  3. Step 3: Cross multiply
    7,980.40x = 11,992.56 × 4,285.36
  4. Step 4: Simplify right side
    7,980.40x = 51,392,436.92
  5. Step 5: Solve for x
    x = 51,392,436.92/7,980.40
  6. Step 6: Final answer
    x = 6,439.83

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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.