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Finding the Fourth Proportional to 8,032.62, 11,994.26 and 7,087.69

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Solution

The fourth proportional to 8,032.62, 11,994.26 and 7,087.69 is: 10,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.62 : 11,994.26 = 7,087.69 : x
  2. Step 2: Convert to fraction form
    8,032.62/11,994.26 = 7,087.69/x
  3. Step 3: Cross multiply
    8,032.62x = 11,994.26 × 7,087.69
  4. Step 4: Simplify right side
    8,032.62x = 85,011,584.39
  5. Step 5: Solve for x
    x = 85,011,584.39/8,032.62
  6. Step 6: Final answer
    x = 10,583.29

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