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Finding the Fourth Proportional to 11,624.91, 16,013.90 and 8,428.81

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Solution

The fourth proportional to 11,624.91, 16,013.90 and 8,428.81 is: 11,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.91 : 16,013.90 = 8,428.81 : x
  2. Step 2: Convert to fraction form
    11,624.91/16,013.90 = 8,428.81/x
  3. Step 3: Cross multiply
    11,624.91x = 16,013.90 × 8,428.81
  4. Step 4: Simplify right side
    11,624.91x = 134,978,199.08
  5. Step 5: Solve for x
    x = 134,978,199.08/11,624.91
  6. Step 6: Final answer
    x = 11,611.12

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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.