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Finding the Fourth Proportional to 8,268.50, 12,402.75 and 2,112.50

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Solution

The fourth proportional to 8,268.50, 12,402.75 and 2,112.50 is: 3,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.50 : 12,402.75 = 2,112.50 : x
  2. Step 2: Convert to fraction form
    8,268.50/12,402.75 = 2,112.50/x
  3. Step 3: Cross multiply
    8,268.50x = 12,402.75 × 2,112.50
  4. Step 4: Simplify right side
    8,268.50x = 26,200,809.38
  5. Step 5: Solve for x
    x = 26,200,809.38/8,268.50
  6. Step 6: Final answer
    x = 3,168.75

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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.