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Finding the Fourth Proportional to 10,091.82, 13,920.93 and 8,380.62

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Solution

The fourth proportional to 10,091.82, 13,920.93 and 8,380.62 is: 11,560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.82 : 13,920.93 = 8,380.62 : x
  2. Step 2: Convert to fraction form
    10,091.82/13,920.93 = 8,380.62/x
  3. Step 3: Cross multiply
    10,091.82x = 13,920.93 × 8,380.62
  4. Step 4: Simplify right side
    10,091.82x = 116,666,024.38
  5. Step 5: Solve for x
    x = 116,666,024.38/10,091.82
  6. Step 6: Final answer
    x = 11,560.45

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Why These Related Problems?

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