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Finding the Fourth Proportional to 8,729.60, 13,093.28 and 2,884.80

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Solution

The fourth proportional to 8,729.60, 13,093.28 and 2,884.80 is: 4,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.60 : 13,093.28 = 2,884.80 : x
  2. Step 2: Convert to fraction form
    8,729.60/13,093.28 = 2,884.80/x
  3. Step 3: Cross multiply
    8,729.60x = 13,093.28 × 2,884.80
  4. Step 4: Simplify right side
    8,729.60x = 37,771,494.14
  5. Step 5: Solve for x
    x = 37,771,494.14/8,729.60
  6. Step 6: Final answer
    x = 4,326.83

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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.