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Finding the Fourth Proportional to 11,690.98, 16,133.92 and 7,214.92

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Solution

The fourth proportional to 11,690.98, 16,133.92 and 7,214.92 is: 9,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.98 : 16,133.92 = 7,214.92 : x
  2. Step 2: Convert to fraction form
    11,690.98/16,133.92 = 7,214.92/x
  3. Step 3: Cross multiply
    11,690.98x = 16,133.92 × 7,214.92
  4. Step 4: Simplify right side
    11,690.98x = 116,404,942.09
  5. Step 5: Solve for x
    x = 116,404,942.09/11,690.98
  6. Step 6: Final answer
    x = 9,956.82

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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.