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Finding the Fourth Proportional to 7,750.30, 11,625.34 and 1,906.96

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Solution

The fourth proportional to 7,750.30, 11,625.34 and 1,906.96 is: 2,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.30 : 11,625.34 = 1,906.96 : x
  2. Step 2: Convert to fraction form
    7,750.30/11,625.34 = 1,906.96/x
  3. Step 3: Cross multiply
    7,750.30x = 11,625.34 × 1,906.96
  4. Step 4: Simplify right side
    7,750.30x = 22,169,058.37
  5. Step 5: Solve for x
    x = 22,169,058.37/7,750.30
  6. Step 6: Final answer
    x = 2,860.41

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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.