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Finding the Fourth Proportional to 8,894.09, 13,321.48 and 5,764.63

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Solution

The fourth proportional to 8,894.09, 13,321.48 and 5,764.63 is: 8,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.09 : 13,321.48 = 5,764.63 : x
  2. Step 2: Convert to fraction form
    8,894.09/13,321.48 = 5,764.63/x
  3. Step 3: Cross multiply
    8,894.09x = 13,321.48 × 5,764.63
  4. Step 4: Simplify right side
    8,894.09x = 76,793,403.25
  5. Step 5: Solve for x
    x = 76,793,403.25/8,894.09
  6. Step 6: Final answer
    x = 8,634.21

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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.