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Finding the Fourth Proportional to 11,589.96, 16,007.28 and 7,806.56

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Solution

The fourth proportional to 11,589.96, 16,007.28 and 7,806.56 is: 10,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.96 : 16,007.28 = 7,806.56 : x
  2. Step 2: Convert to fraction form
    11,589.96/16,007.28 = 7,806.56/x
  3. Step 3: Cross multiply
    11,589.96x = 16,007.28 × 7,806.56
  4. Step 4: Simplify right side
    11,589.96x = 124,961,791.76
  5. Step 5: Solve for x
    x = 124,961,791.76/11,589.96
  6. Step 6: Final answer
    x = 10,781.90

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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.