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Finding the Fourth Proportional to 10,924.14, 15,074.83 and 6,144.48

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Solution

The fourth proportional to 10,924.14, 15,074.83 and 6,144.48 is: 8,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.14 : 15,074.83 = 6,144.48 : x
  2. Step 2: Convert to fraction form
    10,924.14/15,074.83 = 6,144.48/x
  3. Step 3: Cross multiply
    10,924.14x = 15,074.83 × 6,144.48
  4. Step 4: Simplify right side
    10,924.14x = 92,627,058.80
  5. Step 5: Solve for x
    x = 92,627,058.80/10,924.14
  6. Step 6: Final answer
    x = 8,479.12

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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.