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Finding the Fourth Proportional to 7,902.45, 11,846.79 and 2,970.77

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Solution

The fourth proportional to 7,902.45, 11,846.79 and 2,970.77 is: 4,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.45 : 11,846.79 = 2,970.77 : x
  2. Step 2: Convert to fraction form
    7,902.45/11,846.79 = 2,970.77/x
  3. Step 3: Cross multiply
    7,902.45x = 11,846.79 × 2,970.77
  4. Step 4: Simplify right side
    7,902.45x = 35,194,029.09
  5. Step 5: Solve for x
    x = 35,194,029.09/7,902.45
  6. Step 6: Final answer
    x = 4,453.56

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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.