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Finding the Fourth Proportional to 8,702.80, 12,004.39 and 5,163.50

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Solution

The fourth proportional to 8,702.80, 12,004.39 and 5,163.50 is: 7,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.80 : 12,004.39 = 5,163.50 : x
  2. Step 2: Convert to fraction form
    8,702.80/12,004.39 = 5,163.50/x
  3. Step 3: Cross multiply
    8,702.80x = 12,004.39 × 5,163.50
  4. Step 4: Simplify right side
    8,702.80x = 61,984,667.77
  5. Step 5: Solve for x
    x = 61,984,667.77/8,702.80
  6. Step 6: Final answer
    x = 7,122.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.