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Finding the Fourth Proportional to 11,881.86, 16,392.80 and 7,401.96

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Solution

The fourth proportional to 11,881.86, 16,392.80 and 7,401.96 is: 10,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.86 : 16,392.80 = 7,401.96 : x
  2. Step 2: Convert to fraction form
    11,881.86/16,392.80 = 7,401.96/x
  3. Step 3: Cross multiply
    11,881.86x = 16,392.80 × 7,401.96
  4. Step 4: Simplify right side
    11,881.86x = 121,338,849.89
  5. Step 5: Solve for x
    x = 121,338,849.89/11,881.86
  6. Step 6: Final answer
    x = 10,212.11

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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.