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Finding the Fourth Proportional to 11,383.63, 17,078.19 and 3,592.42

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Solution

The fourth proportional to 11,383.63, 17,078.19 and 3,592.42 is: 5,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.63 : 17,078.19 = 3,592.42 : x
  2. Step 2: Convert to fraction form
    11,383.63/17,078.19 = 3,592.42/x
  3. Step 3: Cross multiply
    11,383.63x = 17,078.19 × 3,592.42
  4. Step 4: Simplify right side
    11,383.63x = 61,352,031.32
  5. Step 5: Solve for x
    x = 61,352,031.32/11,383.63
  6. Step 6: Final answer
    x = 5,389.50

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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.