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Finding the Fourth Proportional to 8,272.14, 11,415.74 and 5,087.14

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Solution

The fourth proportional to 8,272.14, 11,415.74 and 5,087.14 is: 7,020.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.14 : 11,415.74 = 5,087.14 : x
  2. Step 2: Convert to fraction form
    8,272.14/11,415.74 = 5,087.14/x
  3. Step 3: Cross multiply
    8,272.14x = 11,415.74 × 5,087.14
  4. Step 4: Simplify right side
    8,272.14x = 58,073,467.58
  5. Step 5: Solve for x
    x = 58,073,467.58/8,272.14
  6. Step 6: Final answer
    x = 7,020.37

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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.