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Finding the Fourth Proportional to 8,729.80, 13,080.30 and 8,211.40

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Solution

The fourth proportional to 8,729.80, 13,080.30 and 8,211.40 is: 12,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.80 : 13,080.30 = 8,211.40 : x
  2. Step 2: Convert to fraction form
    8,729.80/13,080.30 = 8,211.40/x
  3. Step 3: Cross multiply
    8,729.80x = 13,080.30 × 8,211.40
  4. Step 4: Simplify right side
    8,729.80x = 107,407,575.42
  5. Step 5: Solve for x
    x = 107,407,575.42/8,729.80
  6. Step 6: Final answer
    x = 12,303.56

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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.