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Finding the Fourth Proportional to 8,842.10, 13,262.84 and 2,268.34

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Solution

The fourth proportional to 8,842.10, 13,262.84 and 2,268.34 is: 3,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.10 : 13,262.84 = 2,268.34 : x
  2. Step 2: Convert to fraction form
    8,842.10/13,262.84 = 2,268.34/x
  3. Step 3: Cross multiply
    8,842.10x = 13,262.84 × 2,268.34
  4. Step 4: Simplify right side
    8,842.10x = 30,084,630.49
  5. Step 5: Solve for x
    x = 30,084,630.49/8,842.10
  6. Step 6: Final answer
    x = 3,402.43

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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.