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Finding the Fourth Proportional to 11,493.99, 15,863.56 and 10,743.58

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Solution

The fourth proportional to 11,493.99, 15,863.56 and 10,743.58 is: 14,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.99 : 15,863.56 = 10,743.58 : x
  2. Step 2: Convert to fraction form
    11,493.99/15,863.56 = 10,743.58/x
  3. Step 3: Cross multiply
    11,493.99x = 15,863.56 × 10,743.58
  4. Step 4: Simplify right side
    11,493.99x = 170,431,425.94
  5. Step 5: Solve for x
    x = 170,431,425.94/11,493.99
  6. Step 6: Final answer
    x = 14,827.87

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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.