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Finding the Fourth Proportional to 6,830.24, 10,258.40 and 3,914.24

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Solution

The fourth proportional to 6,830.24, 10,258.40 and 3,914.24 is: 5,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.24 : 10,258.40 = 3,914.24 : x
  2. Step 2: Convert to fraction form
    6,830.24/10,258.40 = 3,914.24/x
  3. Step 3: Cross multiply
    6,830.24x = 10,258.40 × 3,914.24
  4. Step 4: Simplify right side
    6,830.24x = 40,153,839.62
  5. Step 5: Solve for x
    x = 40,153,839.62/6,830.24
  6. Step 6: Final answer
    x = 5,878.83

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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.