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Finding the Fourth Proportional to 11,872.72, 16,384.25 and 6,567.42

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Solution

The fourth proportional to 11,872.72, 16,384.25 and 6,567.42 is: 9,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.72 : 16,384.25 = 6,567.42 : x
  2. Step 2: Convert to fraction form
    11,872.72/16,384.25 = 6,567.42/x
  3. Step 3: Cross multiply
    11,872.72x = 16,384.25 × 6,567.42
  4. Step 4: Simplify right side
    11,872.72x = 107,602,218.30
  5. Step 5: Solve for x
    x = 107,602,218.30/11,872.72
  6. Step 6: Final answer
    x = 9,062.98

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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.