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Finding the Fourth Proportional to 8,315.46, 11,473.26 and 5,084.46

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Solution

The fourth proportional to 8,315.46, 11,473.26 and 5,084.46 is: 7,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.46 : 11,473.26 = 5,084.46 : x
  2. Step 2: Convert to fraction form
    8,315.46/11,473.26 = 5,084.46/x
  3. Step 3: Cross multiply
    8,315.46x = 11,473.26 × 5,084.46
  4. Step 4: Simplify right side
    8,315.46x = 58,335,331.54
  5. Step 5: Solve for x
    x = 58,335,331.54/8,315.46
  6. Step 6: Final answer
    x = 7,015.29

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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.