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Finding the Fourth Proportional to 8,137.82, 11,226.07 and 5,148.62

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Solution

The fourth proportional to 8,137.82, 11,226.07 and 5,148.62 is: 7,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.82 : 11,226.07 = 5,148.62 : x
  2. Step 2: Convert to fraction form
    8,137.82/11,226.07 = 5,148.62/x
  3. Step 3: Cross multiply
    8,137.82x = 11,226.07 × 5,148.62
  4. Step 4: Simplify right side
    8,137.82x = 57,798,768.52
  5. Step 5: Solve for x
    x = 57,798,768.52/8,137.82
  6. Step 6: Final answer
    x = 7,102.49

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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.