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Finding the Fourth Proportional to 8,387.46, 12,584.16 and 4,692.87

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Solution

The fourth proportional to 8,387.46, 12,584.16 and 4,692.87 is: 7,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.46 : 12,584.16 = 4,692.87 : x
  2. Step 2: Convert to fraction form
    8,387.46/12,584.16 = 4,692.87/x
  3. Step 3: Cross multiply
    8,387.46x = 12,584.16 × 4,692.87
  4. Step 4: Simplify right side
    8,387.46x = 59,055,826.94
  5. Step 5: Solve for x
    x = 59,055,826.94/8,387.46
  6. Step 6: Final answer
    x = 7,040.97

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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.