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Finding the Fourth Proportional to 8,171.10, 12,256.65 and 8,084.70

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Solution

The fourth proportional to 8,171.10, 12,256.65 and 8,084.70 is: 12,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.10 : 12,256.65 = 8,084.70 : x
  2. Step 2: Convert to fraction form
    8,171.10/12,256.65 = 8,084.70/x
  3. Step 3: Cross multiply
    8,171.10x = 12,256.65 × 8,084.70
  4. Step 4: Simplify right side
    8,171.10x = 99,091,338.26
  5. Step 5: Solve for x
    x = 99,091,338.26/8,171.10
  6. Step 6: Final answer
    x = 12,127.05

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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.