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Finding the Fourth Proportional to 11,872.28, 16,382.28 and 6,567.20

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Solution

The fourth proportional to 11,872.28, 16,382.28 and 6,567.20 is: 9,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.28 : 16,382.28 = 6,567.20 : x
  2. Step 2: Convert to fraction form
    11,872.28/16,382.28 = 6,567.20/x
  3. Step 3: Cross multiply
    11,872.28x = 16,382.28 × 6,567.20
  4. Step 4: Simplify right side
    11,872.28x = 107,585,709.22
  5. Step 5: Solve for x
    x = 107,585,709.22/11,872.28
  6. Step 6: Final answer
    x = 9,061.92

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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.