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Finding the Fourth Proportional to 6,016.56, 8,294.49 and 5,186.10

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Solution

The fourth proportional to 6,016.56, 8,294.49 and 5,186.10 is: 7,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.56 : 8,294.49 = 5,186.10 : x
  2. Step 2: Convert to fraction form
    6,016.56/8,294.49 = 5,186.10/x
  3. Step 3: Cross multiply
    6,016.56x = 8,294.49 × 5,186.10
  4. Step 4: Simplify right side
    6,016.56x = 43,016,054.59
  5. Step 5: Solve for x
    x = 43,016,054.59/6,016.56
  6. Step 6: Final answer
    x = 7,149.61

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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.