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Finding the Fourth Proportional to 6,074.16, 8,383.41 and 5,797.14

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Solution

The fourth proportional to 6,074.16, 8,383.41 and 5,797.14 is: 8,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.16 : 8,383.41 = 5,797.14 : x
  2. Step 2: Convert to fraction form
    6,074.16/8,383.41 = 5,797.14/x
  3. Step 3: Cross multiply
    6,074.16x = 8,383.41 × 5,797.14
  4. Step 4: Simplify right side
    6,074.16x = 48,599,801.45
  5. Step 5: Solve for x
    x = 48,599,801.45/6,074.16
  6. Step 6: Final answer
    x = 8,001.07

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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.