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Finding the Fourth Proportional to 8,468.57, 12,702.54 and 3,203.37

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Solution

The fourth proportional to 8,468.57, 12,702.54 and 3,203.37 is: 4,804.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.57 : 12,702.54 = 3,203.37 : x
  2. Step 2: Convert to fraction form
    8,468.57/12,702.54 = 3,203.37/x
  3. Step 3: Cross multiply
    8,468.57x = 12,702.54 × 3,203.37
  4. Step 4: Simplify right side
    8,468.57x = 40,690,935.56
  5. Step 5: Solve for x
    x = 40,690,935.56/8,468.57
  6. Step 6: Final answer
    x = 4,804.94

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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.