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Finding the Fourth Proportional to 8,842.72, 13,264 and 2,268.80

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Solution

The fourth proportional to 8,842.72, 13,264 and 2,268.80 is: 3,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.72 : 13,264 = 2,268.80 : x
  2. Step 2: Convert to fraction form
    8,842.72/13,264 = 2,268.80/x
  3. Step 3: Cross multiply
    8,842.72x = 13,264 × 2,268.80
  4. Step 4: Simplify right side
    8,842.72x = 30,093,363.20
  5. Step 5: Solve for x
    x = 30,093,363.20/8,842.72
  6. Step 6: Final answer
    x = 3,403.18

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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.