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Finding the Fourth Proportional to 7,825.56, 10,799.22 and 4,288.70

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Solution

The fourth proportional to 7,825.56, 10,799.22 and 4,288.70 is: 5,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.56 : 10,799.22 = 4,288.70 : x
  2. Step 2: Convert to fraction form
    7,825.56/10,799.22 = 4,288.70/x
  3. Step 3: Cross multiply
    7,825.56x = 10,799.22 × 4,288.70
  4. Step 4: Simplify right side
    7,825.56x = 46,314,560.82
  5. Step 5: Solve for x
    x = 46,314,560.82/7,825.56
  6. Step 6: Final answer
    x = 5,918.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.