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Finding the Fourth Proportional to 8,213.48, 12,329.00 and 3,535.81

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Solution

The fourth proportional to 8,213.48, 12,329.00 and 3,535.81 is: 5,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.48 : 12,329.00 = 3,535.81 : x
  2. Step 2: Convert to fraction form
    8,213.48/12,329.00 = 3,535.81/x
  3. Step 3: Cross multiply
    8,213.48x = 12,329.00 × 3,535.81
  4. Step 4: Simplify right side
    8,213.48x = 43,593,010.87
  5. Step 5: Solve for x
    x = 43,593,010.87/8,213.48
  6. Step 6: Final answer
    x = 5,307.49

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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.