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Finding the Fourth Proportional to 6,014.05, 8,301.69 and 5,383.46

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Solution

The fourth proportional to 6,014.05, 8,301.69 and 5,383.46 is: 7,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.05 : 8,301.69 = 5,383.46 : x
  2. Step 2: Convert to fraction form
    6,014.05/8,301.69 = 5,383.46/x
  3. Step 3: Cross multiply
    6,014.05x = 8,301.69 × 5,383.46
  4. Step 4: Simplify right side
    6,014.05x = 44,691,836.80
  5. Step 5: Solve for x
    x = 44,691,836.80/6,014.05
  6. Step 6: Final answer
    x = 7,431.24

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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.