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Finding the Fourth Proportional to 8,842.56, 13,266 and 2,999.22

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Solution

The fourth proportional to 8,842.56, 13,266 and 2,999.22 is: 4,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.56 : 13,266 = 2,999.22 : x
  2. Step 2: Convert to fraction form
    8,842.56/13,266 = 2,999.22/x
  3. Step 3: Cross multiply
    8,842.56x = 13,266 × 2,999.22
  4. Step 4: Simplify right side
    8,842.56x = 39,787,652.52
  5. Step 5: Solve for x
    x = 39,787,652.52/8,842.56
  6. Step 6: Final answer
    x = 4,499.56

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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.