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Finding the Fourth Proportional to 11,623.68, 16,040.34 and 6,318.36

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Solution

The fourth proportional to 11,623.68, 16,040.34 and 6,318.36 is: 8,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.68 : 16,040.34 = 6,318.36 : x
  2. Step 2: Convert to fraction form
    11,623.68/16,040.34 = 6,318.36/x
  3. Step 3: Cross multiply
    11,623.68x = 16,040.34 × 6,318.36
  4. Step 4: Simplify right side
    11,623.68x = 101,348,642.64
  5. Step 5: Solve for x
    x = 101,348,642.64/11,623.68
  6. Step 6: Final answer
    x = 8,719.15

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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.