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Finding the Fourth Proportional to 10,825.44, 14,937.84 and 6,109.44

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Solution

The fourth proportional to 10,825.44, 14,937.84 and 6,109.44 is: 8,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.44 : 14,937.84 = 6,109.44 : x
  2. Step 2: Convert to fraction form
    10,825.44/14,937.84 = 6,109.44/x
  3. Step 3: Cross multiply
    10,825.44x = 14,937.84 × 6,109.44
  4. Step 4: Simplify right side
    10,825.44x = 91,261,837.21
  5. Step 5: Solve for x
    x = 91,261,837.21/10,825.44
  6. Step 6: Final answer
    x = 8,430.31

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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.