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Finding the Fourth Proportional to 11,759.78, 16,208.29 and 11,206.15

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Solution

The fourth proportional to 11,759.78, 16,208.29 and 11,206.15 is: 15,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.78 : 16,208.29 = 11,206.15 : x
  2. Step 2: Convert to fraction form
    11,759.78/16,208.29 = 11,206.15/x
  3. Step 3: Cross multiply
    11,759.78x = 16,208.29 × 11,206.15
  4. Step 4: Simplify right side
    11,759.78x = 181,632,528.98
  5. Step 5: Solve for x
    x = 181,632,528.98/11,759.78
  6. Step 6: Final answer
    x = 15,445.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.