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Finding the Fourth Proportional to 8,431.36, 12,646.96 and 2,884.64

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Solution

The fourth proportional to 8,431.36, 12,646.96 and 2,884.64 is: 4,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.36 : 12,646.96 = 2,884.64 : x
  2. Step 2: Convert to fraction form
    8,431.36/12,646.96 = 2,884.64/x
  3. Step 3: Cross multiply
    8,431.36x = 12,646.96 × 2,884.64
  4. Step 4: Simplify right side
    8,431.36x = 36,481,926.69
  5. Step 5: Solve for x
    x = 36,481,926.69/8,431.36
  6. Step 6: Final answer
    x = 4,326.93

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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.