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Finding the Fourth Proportional to 11,953.14, 16,493.73 and 6,646.94

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Solution

The fourth proportional to 11,953.14, 16,493.73 and 6,646.94 is: 9,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.14 : 16,493.73 = 6,646.94 : x
  2. Step 2: Convert to fraction form
    11,953.14/16,493.73 = 6,646.94/x
  3. Step 3: Cross multiply
    11,953.14x = 16,493.73 × 6,646.94
  4. Step 4: Simplify right side
    11,953.14x = 109,632,751.22
  5. Step 5: Solve for x
    x = 109,632,751.22/11,953.14
  6. Step 6: Final answer
    x = 9,171.88

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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.