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Finding the Fourth Proportional to 7,825.84, 10,799.66 and 4,289.38

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Solution

The fourth proportional to 7,825.84, 10,799.66 and 4,289.38 is: 5,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.84 : 10,799.66 = 4,289.38 : x
  2. Step 2: Convert to fraction form
    7,825.84/10,799.66 = 4,289.38/x
  3. Step 3: Cross multiply
    7,825.84x = 10,799.66 × 4,289.38
  4. Step 4: Simplify right side
    7,825.84x = 46,323,845.61
  5. Step 5: Solve for x
    x = 46,323,845.61/7,825.84
  6. Step 6: Final answer
    x = 5,919.34

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Why These Related Problems?

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