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Finding the Fourth Proportional to 8,510.36, 12,765.40 and 2,667

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Solution

The fourth proportional to 8,510.36, 12,765.40 and 2,667 is: 4,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.36 : 12,765.40 = 2,667 : x
  2. Step 2: Convert to fraction form
    8,510.36/12,765.40 = 2,667/x
  3. Step 3: Cross multiply
    8,510.36x = 12,765.40 × 2,667
  4. Step 4: Simplify right side
    8,510.36x = 34,045,321.80
  5. Step 5: Solve for x
    x = 34,045,321.80/8,510.36
  6. Step 6: Final answer
    x = 4,000.46

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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.