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Finding the Fourth Proportional to 11,728.32, 16,184.92 and 6,423.14

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Solution

The fourth proportional to 11,728.32, 16,184.92 and 6,423.14 is: 8,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.32 : 16,184.92 = 6,423.14 : x
  2. Step 2: Convert to fraction form
    11,728.32/16,184.92 = 6,423.14/x
  3. Step 3: Cross multiply
    11,728.32x = 16,184.92 × 6,423.14
  4. Step 4: Simplify right side
    11,728.32x = 103,957,966.59
  5. Step 5: Solve for x
    x = 103,957,966.59/11,728.32
  6. Step 6: Final answer
    x = 8,863.84

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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.