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Finding the Fourth Proportional to 11,884.53, 17,859.11 and 6,341.79

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Solution

The fourth proportional to 11,884.53, 17,859.11 and 6,341.79 is: 9,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.53 : 17,859.11 = 6,341.79 : x
  2. Step 2: Convert to fraction form
    11,884.53/17,859.11 = 6,341.79/x
  3. Step 3: Cross multiply
    11,884.53x = 17,859.11 × 6,341.79
  4. Step 4: Simplify right side
    11,884.53x = 113,258,725.21
  5. Step 5: Solve for x
    x = 113,258,725.21/11,884.53
  6. Step 6: Final answer
    x = 9,529.93

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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.