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Finding the Fourth Proportional to 8,494.80, 12,728.34 and 5,200.98

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Solution

The fourth proportional to 8,494.80, 12,728.34 and 5,200.98 is: 7,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.80 : 12,728.34 = 5,200.98 : x
  2. Step 2: Convert to fraction form
    8,494.80/12,728.34 = 5,200.98/x
  3. Step 3: Cross multiply
    8,494.80x = 12,728.34 × 5,200.98
  4. Step 4: Simplify right side
    8,494.80x = 66,199,841.77
  5. Step 5: Solve for x
    x = 66,199,841.77/8,494.80
  6. Step 6: Final answer
    x = 7,792.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.