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Finding the Fourth Proportional to 8,729.60, 13,089.36 and 2,884.64

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Solution

The fourth proportional to 8,729.60, 13,089.36 and 2,884.64 is: 4,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.60 : 13,089.36 = 2,884.64 : x
  2. Step 2: Convert to fraction form
    8,729.60/13,089.36 = 2,884.64/x
  3. Step 3: Cross multiply
    8,729.60x = 13,089.36 × 2,884.64
  4. Step 4: Simplify right side
    8,729.60x = 37,758,091.43
  5. Step 5: Solve for x
    x = 37,758,091.43/8,729.60
  6. Step 6: Final answer
    x = 4,325.29

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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.