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Finding the Fourth Proportional to 8,230.14, 11,359.62 and 5,084.46

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Solution

The fourth proportional to 8,230.14, 11,359.62 and 5,084.46 is: 7,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.14 : 11,359.62 = 5,084.46 : x
  2. Step 2: Convert to fraction form
    8,230.14/11,359.62 = 5,084.46/x
  3. Step 3: Cross multiply
    8,230.14x = 11,359.62 × 5,084.46
  4. Step 4: Simplify right side
    8,230.14x = 57,757,533.51
  5. Step 5: Solve for x
    x = 57,757,533.51/8,230.14
  6. Step 6: Final answer
    x = 7,017.81

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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.