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Finding the Fourth Proportional to 11,355.78, 15,667.38 and 6,638.34

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Solution

The fourth proportional to 11,355.78, 15,667.38 and 6,638.34 is: 9,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.78 : 15,667.38 = 6,638.34 : x
  2. Step 2: Convert to fraction form
    11,355.78/15,667.38 = 6,638.34/x
  3. Step 3: Cross multiply
    11,355.78x = 15,667.38 × 6,638.34
  4. Step 4: Simplify right side
    11,355.78x = 104,005,395.35
  5. Step 5: Solve for x
    x = 104,005,395.35/11,355.78
  6. Step 6: Final answer
    x = 9,158.81

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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.