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Finding the Fourth Proportional to 8,270.16, 11,427.87 and 6,028.15

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Solution

The fourth proportional to 8,270.16, 11,427.87 and 6,028.15 is: 8,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.16 : 11,427.87 = 6,028.15 : x
  2. Step 2: Convert to fraction form
    8,270.16/11,427.87 = 6,028.15/x
  3. Step 3: Cross multiply
    8,270.16x = 11,427.87 × 6,028.15
  4. Step 4: Simplify right side
    8,270.16x = 68,888,914.54
  5. Step 5: Solve for x
    x = 68,888,914.54/8,270.16
  6. Step 6: Final answer
    x = 8,329.82

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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.