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Finding the Fourth Proportional to 11,728.42, 16,184.92 and 6,423.46

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Solution

The fourth proportional to 11,728.42, 16,184.92 and 6,423.46 is: 8,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.42 : 16,184.92 = 6,423.46 : x
  2. Step 2: Convert to fraction form
    11,728.42/16,184.92 = 6,423.46/x
  3. Step 3: Cross multiply
    11,728.42x = 16,184.92 × 6,423.46
  4. Step 4: Simplify right side
    11,728.42x = 103,963,186.22
  5. Step 5: Solve for x
    x = 103,963,186.22/11,728.42
  6. Step 6: Final answer
    x = 8,864.21

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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.