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Finding the Fourth Proportional to 11,892.82, 16,412.26 and 6,587.86

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Solution

The fourth proportional to 11,892.82, 16,412.26 and 6,587.86 is: 9,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.82 : 16,412.26 = 6,587.86 : x
  2. Step 2: Convert to fraction form
    11,892.82/16,412.26 = 6,587.86/x
  3. Step 3: Cross multiply
    11,892.82x = 16,412.26 × 6,587.86
  4. Step 4: Simplify right side
    11,892.82x = 108,121,671.16
  5. Step 5: Solve for x
    x = 108,121,671.16/11,892.82
  6. Step 6: Final answer
    x = 9,091.34

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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.