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Finding the Fourth Proportional to 8,496.80, 12,731.34 and 5,202.98

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Solution

The fourth proportional to 8,496.80, 12,731.34 and 5,202.98 is: 7,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.80 : 12,731.34 = 5,202.98 : x
  2. Step 2: Convert to fraction form
    8,496.80/12,731.34 = 5,202.98/x
  3. Step 3: Cross multiply
    8,496.80x = 12,731.34 × 5,202.98
  4. Step 4: Simplify right side
    8,496.80x = 66,240,907.39
  5. Step 5: Solve for x
    x = 66,240,907.39/8,496.80
  6. Step 6: Final answer
    x = 7,795.98

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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.