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Finding the Fourth Proportional to 8,516.63, 12,774.80 and 3,833.33

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Solution

The fourth proportional to 8,516.63, 12,774.80 and 3,833.33 is: 5,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.63 : 12,774.80 = 3,833.33 : x
  2. Step 2: Convert to fraction form
    8,516.63/12,774.80 = 3,833.33/x
  3. Step 3: Cross multiply
    8,516.63x = 12,774.80 × 3,833.33
  4. Step 4: Simplify right side
    8,516.63x = 48,969,969.79
  5. Step 5: Solve for x
    x = 48,969,969.79/8,516.63
  6. Step 6: Final answer
    x = 5,749.92

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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.