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Finding the Fourth Proportional to 10,605.20, 14,634.44 and 5,889.20

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Solution

The fourth proportional to 10,605.20, 14,634.44 and 5,889.20 is: 8,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.20 : 14,634.44 = 5,889.20 : x
  2. Step 2: Convert to fraction form
    10,605.20/14,634.44 = 5,889.20/x
  3. Step 3: Cross multiply
    10,605.20x = 14,634.44 × 5,889.20
  4. Step 4: Simplify right side
    10,605.20x = 86,185,144.05
  5. Step 5: Solve for x
    x = 86,185,144.05/10,605.20
  6. Step 6: Final answer
    x = 8,126.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.