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Finding the Fourth Proportional to 11,691.96, 16,139.46 and 7,913.28

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Solution

The fourth proportional to 11,691.96, 16,139.46 and 7,913.28 is: 10,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.96 : 16,139.46 = 7,913.28 : x
  2. Step 2: Convert to fraction form
    11,691.96/16,139.46 = 7,913.28/x
  3. Step 3: Cross multiply
    11,691.96x = 16,139.46 × 7,913.28
  4. Step 4: Simplify right side
    11,691.96x = 127,716,066.03
  5. Step 5: Solve for x
    x = 127,716,066.03/11,691.96
  6. Step 6: Final answer
    x = 10,923.41

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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.