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Finding the Fourth Proportional to 8,496.01, 12,739.87 and 3,564.33

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Solution

The fourth proportional to 8,496.01, 12,739.87 and 3,564.33 is: 5,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.01 : 12,739.87 = 3,564.33 : x
  2. Step 2: Convert to fraction form
    8,496.01/12,739.87 = 3,564.33/x
  3. Step 3: Cross multiply
    8,496.01x = 12,739.87 × 3,564.33
  4. Step 4: Simplify right side
    8,496.01x = 45,409,100.84
  5. Step 5: Solve for x
    x = 45,409,100.84/8,496.01
  6. Step 6: Final answer
    x = 5,344.76

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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.