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Finding the Fourth Proportional to 8,539.25, 12,811.04 and 2,383.25

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Solution

The fourth proportional to 8,539.25, 12,811.04 and 2,383.25 is: 3,575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.25 : 12,811.04 = 2,383.25 : x
  2. Step 2: Convert to fraction form
    8,539.25/12,811.04 = 2,383.25/x
  3. Step 3: Cross multiply
    8,539.25x = 12,811.04 × 2,383.25
  4. Step 4: Simplify right side
    8,539.25x = 30,531,899.16
  5. Step 5: Solve for x
    x = 30,531,899.16/8,539.25
  6. Step 6: Final answer
    x = 3,575.48

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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.