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Finding the Fourth Proportional to 7,877.37, 11,816.31 and 2,946.09

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Solution

The fourth proportional to 7,877.37, 11,816.31 and 2,946.09 is: 4,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.37 : 11,816.31 = 2,946.09 : x
  2. Step 2: Convert to fraction form
    7,877.37/11,816.31 = 2,946.09/x
  3. Step 3: Cross multiply
    7,877.37x = 11,816.31 × 2,946.09
  4. Step 4: Simplify right side
    7,877.37x = 34,811,912.73
  5. Step 5: Solve for x
    x = 34,811,912.73/7,877.37
  6. Step 6: Final answer
    x = 4,419.23

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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.