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Finding the Fourth Proportional to 8,513.93, 11,748.20 and 4,736.21

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Solution

The fourth proportional to 8,513.93, 11,748.20 and 4,736.21 is: 6,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.93 : 11,748.20 = 4,736.21 : x
  2. Step 2: Convert to fraction form
    8,513.93/11,748.20 = 4,736.21/x
  3. Step 3: Cross multiply
    8,513.93x = 11,748.20 × 4,736.21
  4. Step 4: Simplify right side
    8,513.93x = 55,641,859.90
  5. Step 5: Solve for x
    x = 55,641,859.90/8,513.93
  6. Step 6: Final answer
    x = 6,535.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.