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Finding the Fourth Proportional to 11,876.12, 16,388.80 and 6,570.80

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Solution

The fourth proportional to 11,876.12, 16,388.80 and 6,570.80 is: 9,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.12 : 16,388.80 = 6,570.80 : x
  2. Step 2: Convert to fraction form
    11,876.12/16,388.80 = 6,570.80/x
  3. Step 3: Cross multiply
    11,876.12x = 16,388.80 × 6,570.80
  4. Step 4: Simplify right side
    11,876.12x = 107,687,527.04
  5. Step 5: Solve for x
    x = 107,687,527.04/11,876.12
  6. Step 6: Final answer
    x = 9,067.57

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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.