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Finding the Fourth Proportional to 11,876.76, 17,816.96 and 4,083.75

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Solution

The fourth proportional to 11,876.76, 17,816.96 and 4,083.75 is: 6,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.76 : 17,816.96 = 4,083.75 : x
  2. Step 2: Convert to fraction form
    11,876.76/17,816.96 = 4,083.75/x
  3. Step 3: Cross multiply
    11,876.76x = 17,816.96 × 4,083.75
  4. Step 4: Simplify right side
    11,876.76x = 72,760,020.61
  5. Step 5: Solve for x
    x = 72,760,020.61/11,876.76
  6. Step 6: Final answer
    x = 6,126.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.