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Finding the Fourth Proportional to 8,002.67, 11,989.42 and 5,899.50

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Solution

The fourth proportional to 8,002.67, 11,989.42 and 5,899.50 is: 8,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.67 : 11,989.42 = 5,899.50 : x
  2. Step 2: Convert to fraction form
    8,002.67/11,989.42 = 5,899.50/x
  3. Step 3: Cross multiply
    8,002.67x = 11,989.42 × 5,899.50
  4. Step 4: Simplify right side
    8,002.67x = 70,731,568.54
  5. Step 5: Solve for x
    x = 70,731,568.54/8,002.67
  6. Step 6: Final answer
    x = 8,838.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.