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Finding the Fourth Proportional to 11,723.23, 16,178.02 and 6,418.01

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Solution

The fourth proportional to 11,723.23, 16,178.02 and 6,418.01 is: 8,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.23 : 16,178.02 = 6,418.01 : x
  2. Step 2: Convert to fraction form
    11,723.23/16,178.02 = 6,418.01/x
  3. Step 3: Cross multiply
    11,723.23x = 16,178.02 × 6,418.01
  4. Step 4: Simplify right side
    11,723.23x = 103,830,693.97
  5. Step 5: Solve for x
    x = 103,830,693.97/11,723.23
  6. Step 6: Final answer
    x = 8,856.83

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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.