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Finding the Fourth Proportional to 8,442.36, 11,651.38 and 5,087.14

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Solution

The fourth proportional to 8,442.36, 11,651.38 and 5,087.14 is: 7,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.36 : 11,651.38 = 5,087.14 : x
  2. Step 2: Convert to fraction form
    8,442.36/11,651.38 = 5,087.14/x
  3. Step 3: Cross multiply
    8,442.36x = 11,651.38 × 5,087.14
  4. Step 4: Simplify right side
    8,442.36x = 59,272,201.25
  5. Step 5: Solve for x
    x = 59,272,201.25/8,442.36
  6. Step 6: Final answer
    x = 7,020.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.