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Finding the Fourth Proportional to 8,032.75, 11,994.44 and 7,087.82

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Solution

The fourth proportional to 8,032.75, 11,994.44 and 7,087.82 is: 10,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.75 : 11,994.44 = 7,087.82 : x
  2. Step 2: Convert to fraction form
    8,032.75/11,994.44 = 7,087.82/x
  3. Step 3: Cross multiply
    8,032.75x = 11,994.44 × 7,087.82
  4. Step 4: Simplify right side
    8,032.75x = 85,014,371.75
  5. Step 5: Solve for x
    x = 85,014,371.75/8,032.75
  6. Step 6: Final answer
    x = 10,583.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.