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Finding the Fourth Proportional to 11,667.86, 16,101.96 and 7,131.27

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Solution

The fourth proportional to 11,667.86, 16,101.96 and 7,131.27 is: 9,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.86 : 16,101.96 = 7,131.27 : x
  2. Step 2: Convert to fraction form
    11,667.86/16,101.96 = 7,131.27/x
  3. Step 3: Cross multiply
    11,667.86x = 16,101.96 × 7,131.27
  4. Step 4: Simplify right side
    11,667.86x = 114,827,397.55
  5. Step 5: Solve for x
    x = 114,827,397.55/11,667.86
  6. Step 6: Final answer
    x = 9,841.35

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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.