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Finding the Fourth Proportional to 11,876.63, 16,390.35 and 7,161.21

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Solution

The fourth proportional to 11,876.63, 16,390.35 and 7,161.21 is: 9,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.63 : 16,390.35 = 7,161.21 : x
  2. Step 2: Convert to fraction form
    11,876.63/16,390.35 = 7,161.21/x
  3. Step 3: Cross multiply
    11,876.63x = 16,390.35 × 7,161.21
  4. Step 4: Simplify right side
    11,876.63x = 117,374,738.32
  5. Step 5: Solve for x
    x = 117,374,738.32/11,876.63
  6. Step 6: Final answer
    x = 9,882.84

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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.