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Finding the Fourth Proportional to 10,540.43, 14,544.55 and 5,824.43

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Solution

The fourth proportional to 10,540.43, 14,544.55 and 5,824.43 is: 8,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.43 : 14,544.55 = 5,824.43 : x
  2. Step 2: Convert to fraction form
    10,540.43/14,544.55 = 5,824.43/x
  3. Step 3: Cross multiply
    10,540.43x = 14,544.55 × 5,824.43
  4. Step 4: Simplify right side
    10,540.43x = 84,713,713.36
  5. Step 5: Solve for x
    x = 84,713,713.36/10,540.43
  6. Step 6: Final answer
    x = 8,037.03

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Why These Related Problems?

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