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Finding the Fourth Proportional to 8,731.63, 13,097.69 and 3,189.10

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Solution

The fourth proportional to 8,731.63, 13,097.69 and 3,189.10 is: 4,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.63 : 13,097.69 = 3,189.10 : x
  2. Step 2: Convert to fraction form
    8,731.63/13,097.69 = 3,189.10/x
  3. Step 3: Cross multiply
    8,731.63x = 13,097.69 × 3,189.10
  4. Step 4: Simplify right side
    8,731.63x = 41,769,843.18
  5. Step 5: Solve for x
    x = 41,769,843.18/8,731.63
  6. Step 6: Final answer
    x = 4,783.74

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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.