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Finding the Fourth Proportional to 7,782.68, 11,665.28 and 3,101.44

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Solution

The fourth proportional to 7,782.68, 11,665.28 and 3,101.44 is: 4,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.68 : 11,665.28 = 3,101.44 : x
  2. Step 2: Convert to fraction form
    7,782.68/11,665.28 = 3,101.44/x
  3. Step 3: Cross multiply
    7,782.68x = 11,665.28 × 3,101.44
  4. Step 4: Simplify right side
    7,782.68x = 36,179,166.00
  5. Step 5: Solve for x
    x = 36,179,166.00/7,782.68
  6. Step 6: Final answer
    x = 4,648.68

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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.