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Finding the Fourth Proportional to 7,783.64, 11,675.44 and 1,940.26

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Solution

The fourth proportional to 7,783.64, 11,675.44 and 1,940.26 is: 2,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.64 : 11,675.44 = 1,940.26 : x
  2. Step 2: Convert to fraction form
    7,783.64/11,675.44 = 1,940.26/x
  3. Step 3: Cross multiply
    7,783.64x = 11,675.44 × 1,940.26
  4. Step 4: Simplify right side
    7,783.64x = 22,653,389.21
  5. Step 5: Solve for x
    x = 22,653,389.21/7,783.64
  6. Step 6: Final answer
    x = 2,910.39

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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.