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Finding the Fourth Proportional to 11,667.12, 17,507.80 and 4,650.48

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Solution

The fourth proportional to 11,667.12, 17,507.80 and 4,650.48 is: 6,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.12 : 17,507.80 = 4,650.48 : x
  2. Step 2: Convert to fraction form
    11,667.12/17,507.80 = 4,650.48/x
  3. Step 3: Cross multiply
    11,667.12x = 17,507.80 × 4,650.48
  4. Step 4: Simplify right side
    11,667.12x = 81,419,673.74
  5. Step 5: Solve for x
    x = 81,419,673.74/11,667.12
  6. Step 6: Final answer
    x = 6,978.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.