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Finding the Fourth Proportional to 7,825.37, 10,799.19 and 4,800.42

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Solution

The fourth proportional to 7,825.37, 10,799.19 and 4,800.42 is: 6,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.37 : 10,799.19 = 4,800.42 : x
  2. Step 2: Convert to fraction form
    7,825.37/10,799.19 = 4,800.42/x
  3. Step 3: Cross multiply
    7,825.37x = 10,799.19 × 4,800.42
  4. Step 4: Simplify right side
    7,825.37x = 51,840,647.66
  5. Step 5: Solve for x
    x = 51,840,647.66/7,825.37
  6. Step 6: Final answer
    x = 6,624.69

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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.