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Finding the Fourth Proportional to 11,608.83, 17,402.66 and 4,211.66

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Solution

The fourth proportional to 11,608.83, 17,402.66 and 4,211.66 is: 6,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.83 : 17,402.66 = 4,211.66 : x
  2. Step 2: Convert to fraction form
    11,608.83/17,402.66 = 4,211.66/x
  3. Step 3: Cross multiply
    11,608.83x = 17,402.66 × 4,211.66
  4. Step 4: Simplify right side
    11,608.83x = 73,293,978.94
  5. Step 5: Solve for x
    x = 73,293,978.94/11,608.83
  6. Step 6: Final answer
    x = 6,313.64

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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.