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Finding the Fourth Proportional to 10,524.69, 14,512.77 and 10,369.58

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Solution

The fourth proportional to 10,524.69, 14,512.77 and 10,369.58 is: 14,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.69 : 14,512.77 = 10,369.58 : x
  2. Step 2: Convert to fraction form
    10,524.69/14,512.77 = 10,369.58/x
  3. Step 3: Cross multiply
    10,524.69x = 14,512.77 × 10,369.58
  4. Step 4: Simplify right side
    10,524.69x = 150,491,256.97
  5. Step 5: Solve for x
    x = 150,491,256.97/10,524.69
  6. Step 6: Final answer
    x = 14,298.88

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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.