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Finding the Fourth Proportional to 11,461.05, 17,193.42 and 4,063.89

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Solution

The fourth proportional to 11,461.05, 17,193.42 and 4,063.89 is: 6,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.05 : 17,193.42 = 4,063.89 : x
  2. Step 2: Convert to fraction form
    11,461.05/17,193.42 = 4,063.89/x
  3. Step 3: Cross multiply
    11,461.05x = 17,193.42 × 4,063.89
  4. Step 4: Simplify right side
    11,461.05x = 69,872,167.60
  5. Step 5: Solve for x
    x = 69,872,167.60/11,461.05
  6. Step 6: Final answer
    x = 6,096.49

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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.