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Finding the Fourth Proportional to 11,705.90, 17,556.64 and 4,208.29

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Solution

The fourth proportional to 11,705.90, 17,556.64 and 4,208.29 is: 6,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.90 : 17,556.64 = 4,208.29 : x
  2. Step 2: Convert to fraction form
    11,705.90/17,556.64 = 4,208.29/x
  3. Step 3: Cross multiply
    11,705.90x = 17,556.64 × 4,208.29
  4. Step 4: Simplify right side
    11,705.90x = 73,883,378.13
  5. Step 5: Solve for x
    x = 73,883,378.13/11,705.90
  6. Step 6: Final answer
    x = 6,311.64

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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.