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Finding the Fourth Proportional to 7,782.57, 11,675.83 and 2,236.30

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Solution

The fourth proportional to 7,782.57, 11,675.83 and 2,236.30 is: 3,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.57 : 11,675.83 = 2,236.30 : x
  2. Step 2: Convert to fraction form
    7,782.57/11,675.83 = 2,236.30/x
  3. Step 3: Cross multiply
    7,782.57x = 11,675.83 × 2,236.30
  4. Step 4: Simplify right side
    7,782.57x = 26,110,658.63
  5. Step 5: Solve for x
    x = 26,110,658.63/7,782.57
  6. Step 6: Final answer
    x = 3,355.02

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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.