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Finding the Fourth Proportional to 11,608.25, 16,019.67 and 7,129.46

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Solution

The fourth proportional to 11,608.25, 16,019.67 and 7,129.46 is: 9,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.25 : 16,019.67 = 7,129.46 : x
  2. Step 2: Convert to fraction form
    11,608.25/16,019.67 = 7,129.46/x
  3. Step 3: Cross multiply
    11,608.25x = 16,019.67 × 7,129.46
  4. Step 4: Simplify right side
    11,608.25x = 114,211,596.48
  5. Step 5: Solve for x
    x = 114,211,596.48/11,608.25
  6. Step 6: Final answer
    x = 9,838.83

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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.