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Finding the Fourth Proportional to 11,932.03, 17,897.70 and 5,696.44

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Solution

The fourth proportional to 11,932.03, 17,897.70 and 5,696.44 is: 8,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.03 : 17,897.70 = 5,696.44 : x
  2. Step 2: Convert to fraction form
    11,932.03/17,897.70 = 5,696.44/x
  3. Step 3: Cross multiply
    11,932.03x = 17,897.70 × 5,696.44
  4. Step 4: Simplify right side
    11,932.03x = 101,953,174.19
  5. Step 5: Solve for x
    x = 101,953,174.19/11,932.03
  6. Step 6: Final answer
    x = 8,544.50

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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.