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Finding the Fourth Proportional to 13,072.78, 18,040.38 and 7,104.34

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Solution

The fourth proportional to 13,072.78, 18,040.38 and 7,104.34 is: 9,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.78 : 18,040.38 = 7,104.34 : x
  2. Step 2: Convert to fraction form
    13,072.78/18,040.38 = 7,104.34/x
  3. Step 3: Cross multiply
    13,072.78x = 18,040.38 × 7,104.34
  4. Step 4: Simplify right side
    13,072.78x = 128,164,993.25
  5. Step 5: Solve for x
    x = 128,164,993.25/13,072.78
  6. Step 6: Final answer
    x = 9,803.96

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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.