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Finding the Fourth Proportional to 8,721, 13,081.46 and 4,833.63

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Solution

The fourth proportional to 8,721, 13,081.46 and 4,833.63 is: 7,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721 : 13,081.46 = 4,833.63 : x
  2. Step 2: Convert to fraction form
    8,721/13,081.46 = 4,833.63/x
  3. Step 3: Cross multiply
    8,721x = 13,081.46 × 4,833.63
  4. Step 4: Simplify right side
    8,721x = 63,230,913.33
  5. Step 5: Solve for x
    x = 63,230,913.33/8,721
  6. Step 6: Final answer
    x = 7,250.42

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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.