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Finding the Fourth Proportional to 11,836.29, 16,339.99 and 7,361.48

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Solution

The fourth proportional to 11,836.29, 16,339.99 and 7,361.48 is: 10,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.29 : 16,339.99 = 7,361.48 : x
  2. Step 2: Convert to fraction form
    11,836.29/16,339.99 = 7,361.48/x
  3. Step 3: Cross multiply
    11,836.29x = 16,339.99 × 7,361.48
  4. Step 4: Simplify right side
    11,836.29x = 120,286,598.47
  5. Step 5: Solve for x
    x = 120,286,598.47/11,836.29
  6. Step 6: Final answer
    x = 10,162.53

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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.