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Finding the Fourth Proportional to 11,447.98, 15,791.76 and 6,667.36

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Solution

The fourth proportional to 11,447.98, 15,791.76 and 6,667.36 is: 9,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.98 : 15,791.76 = 6,667.36 : x
  2. Step 2: Convert to fraction form
    11,447.98/15,791.76 = 6,667.36/x
  3. Step 3: Cross multiply
    11,447.98x = 15,791.76 × 6,667.36
  4. Step 4: Simplify right side
    11,447.98x = 105,289,309.47
  5. Step 5: Solve for x
    x = 105,289,309.47/11,447.98
  6. Step 6: Final answer
    x = 9,197.20

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