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Finding the Fourth Proportional to 11,691.27, 16,122.43 and 7,214.07

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Solution

The fourth proportional to 11,691.27, 16,122.43 and 7,214.07 is: 9,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.27 : 16,122.43 = 7,214.07 : x
  2. Step 2: Convert to fraction form
    11,691.27/16,122.43 = 7,214.07/x
  3. Step 3: Cross multiply
    11,691.27x = 16,122.43 × 7,214.07
  4. Step 4: Simplify right side
    11,691.27x = 116,308,322.14
  5. Step 5: Solve for x
    x = 116,308,322.14/11,691.27
  6. Step 6: Final answer
    x = 9,948.31

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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.