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Finding the Fourth Proportional to 11,314.36, 16,956.14 and 8,538.71

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Solution

The fourth proportional to 11,314.36, 16,956.14 and 8,538.71 is: 12,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.36 : 16,956.14 = 8,538.71 : x
  2. Step 2: Convert to fraction form
    11,314.36/16,956.14 = 8,538.71/x
  3. Step 3: Cross multiply
    11,314.36x = 16,956.14 × 8,538.71
  4. Step 4: Simplify right side
    11,314.36x = 144,783,562.18
  5. Step 5: Solve for x
    x = 144,783,562.18/11,314.36
  6. Step 6: Final answer
    x = 12,796.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.