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Finding the Fourth Proportional to 11,404.98, 15,735.33 and 7,876.98

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Solution

The fourth proportional to 11,404.98, 15,735.33 and 7,876.98 is: 10,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.98 : 15,735.33 = 7,876.98 : x
  2. Step 2: Convert to fraction form
    11,404.98/15,735.33 = 7,876.98/x
  3. Step 3: Cross multiply
    11,404.98x = 15,735.33 × 7,876.98
  4. Step 4: Simplify right side
    11,404.98x = 123,946,879.70
  5. Step 5: Solve for x
    x = 123,946,879.70/11,404.98
  6. Step 6: Final answer
    x = 10,867.79

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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.