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Finding the Fourth Proportional to 11,728.52, 16,185.96 and 6,423.86

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Solution

The fourth proportional to 11,728.52, 16,185.96 and 6,423.86 is: 8,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.52 : 16,185.96 = 6,423.86 : x
  2. Step 2: Convert to fraction form
    11,728.52/16,185.96 = 6,423.86/x
  3. Step 3: Cross multiply
    11,728.52x = 16,185.96 × 6,423.86
  4. Step 4: Simplify right side
    11,728.52x = 103,976,341.01
  5. Step 5: Solve for x
    x = 103,976,341.01/11,728.52
  6. Step 6: Final answer
    x = 8,865.26

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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.