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Finding the Fourth Proportional to 8,527.23, 12,791.25 and 2,684.25

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Solution

The fourth proportional to 8,527.23, 12,791.25 and 2,684.25 is: 4,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.23 : 12,791.25 = 2,684.25 : x
  2. Step 2: Convert to fraction form
    8,527.23/12,791.25 = 2,684.25/x
  3. Step 3: Cross multiply
    8,527.23x = 12,791.25 × 2,684.25
  4. Step 4: Simplify right side
    8,527.23x = 34,334,912.81
  5. Step 5: Solve for x
    x = 34,334,912.81/8,527.23
  6. Step 6: Final answer
    x = 4,026.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.