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Finding the Fourth Proportional to 11,702.51, 17,556.83 and 4,206.83

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Solution

The fourth proportional to 11,702.51, 17,556.83 and 4,206.83 is: 6,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.51 : 17,556.83 = 4,206.83 : x
  2. Step 2: Convert to fraction form
    11,702.51/17,556.83 = 4,206.83/x
  3. Step 3: Cross multiply
    11,702.51x = 17,556.83 × 4,206.83
  4. Step 4: Simplify right side
    11,702.51x = 73,858,521.88
  5. Step 5: Solve for x
    x = 73,858,521.88/11,702.51
  6. Step 6: Final answer
    x = 6,311.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.