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Finding the Fourth Proportional to 7,782.14, 11,672.78 and 2,517.06

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Solution

The fourth proportional to 7,782.14, 11,672.78 and 2,517.06 is: 3,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.14 : 11,672.78 = 2,517.06 : x
  2. Step 2: Convert to fraction form
    7,782.14/11,672.78 = 2,517.06/x
  3. Step 3: Cross multiply
    7,782.14x = 11,672.78 × 2,517.06
  4. Step 4: Simplify right side
    7,782.14x = 29,381,087.63
  5. Step 5: Solve for x
    x = 29,381,087.63/7,782.14
  6. Step 6: Final answer
    x = 3,775.45

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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.