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Finding the Fourth Proportional to 11,623.23, 16,040.12 and 6,318.14

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Solution

The fourth proportional to 11,623.23, 16,040.12 and 6,318.14 is: 8,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.23 : 16,040.12 = 6,318.14 : x
  2. Step 2: Convert to fraction form
    11,623.23/16,040.12 = 6,318.14/x
  3. Step 3: Cross multiply
    11,623.23x = 16,040.12 × 6,318.14
  4. Step 4: Simplify right side
    11,623.23x = 101,343,611.99
  5. Step 5: Solve for x
    x = 101,343,611.99/11,623.23
  6. Step 6: Final answer
    x = 8,719.06

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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.