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Finding the Fourth Proportional to 11,996.71, 16,563.62 and 7,758.02

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Solution

The fourth proportional to 11,996.71, 16,563.62 and 7,758.02 is: 10,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.71 : 16,563.62 = 7,758.02 : x
  2. Step 2: Convert to fraction form
    11,996.71/16,563.62 = 7,758.02/x
  3. Step 3: Cross multiply
    11,996.71x = 16,563.62 × 7,758.02
  4. Step 4: Simplify right side
    11,996.71x = 128,500,956.04
  5. Step 5: Solve for x
    x = 128,500,956.04/11,996.71
  6. Step 6: Final answer
    x = 10,711.35

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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.