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Finding the Fourth Proportional to 7,839.85, 10,824.06 and 4,858.84

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Solution

The fourth proportional to 7,839.85, 10,824.06 and 4,858.84 is: 6,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.85 : 10,824.06 = 4,858.84 : x
  2. Step 2: Convert to fraction form
    7,839.85/10,824.06 = 4,858.84/x
  3. Step 3: Cross multiply
    7,839.85x = 10,824.06 × 4,858.84
  4. Step 4: Simplify right side
    7,839.85x = 52,592,375.69
  5. Step 5: Solve for x
    x = 52,592,375.69/7,839.85
  6. Step 6: Final answer
    x = 6,708.34

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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.