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Finding the Fourth Proportional to 11,608.14, 16,022.88 and 7,416.38

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Solution

The fourth proportional to 11,608.14, 16,022.88 and 7,416.38 is: 10,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.14 : 16,022.88 = 7,416.38 : x
  2. Step 2: Convert to fraction form
    11,608.14/16,022.88 = 7,416.38/x
  3. Step 3: Cross multiply
    11,608.14x = 16,022.88 × 7,416.38
  4. Step 4: Simplify right side
    11,608.14x = 118,831,766.77
  5. Step 5: Solve for x
    x = 118,831,766.77/11,608.14
  6. Step 6: Final answer
    x = 10,236.93

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Why These Related Problems?

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