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Finding the Fourth Proportional to 10,524.42, 15,785.42 and 2,733.03

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Solution

The fourth proportional to 10,524.42, 15,785.42 and 2,733.03 is: 4,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.42 : 15,785.42 = 2,733.03 : x
  2. Step 2: Convert to fraction form
    10,524.42/15,785.42 = 2,733.03/x
  3. Step 3: Cross multiply
    10,524.42x = 15,785.42 × 2,733.03
  4. Step 4: Simplify right side
    10,524.42x = 43,142,012.76
  5. Step 5: Solve for x
    x = 43,142,012.76/10,524.42
  6. Step 6: Final answer
    x = 4,099.23

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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.