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Finding the Fourth Proportional to 11,608.40, 16,013.94 and 6,889.34

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Solution

The fourth proportional to 11,608.40, 16,013.94 and 6,889.34 is: 9,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.40 : 16,013.94 = 6,889.34 : x
  2. Step 2: Convert to fraction form
    11,608.40/16,013.94 = 6,889.34/x
  3. Step 3: Cross multiply
    11,608.40x = 16,013.94 × 6,889.34
  4. Step 4: Simplify right side
    11,608.40x = 110,325,397.33
  5. Step 5: Solve for x
    x = 110,325,397.33/11,608.40
  6. Step 6: Final answer
    x = 9,503.93

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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.