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Finding the Fourth Proportional to 11,872.34, 16,384.12 and 6,567.26

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Solution

The fourth proportional to 11,872.34, 16,384.12 and 6,567.26 is: 9,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.34 : 16,384.12 = 6,567.26 : x
  2. Step 2: Convert to fraction form
    11,872.34/16,384.12 = 6,567.26/x
  3. Step 3: Cross multiply
    11,872.34x = 16,384.12 × 6,567.26
  4. Step 4: Simplify right side
    11,872.34x = 107,598,775.91
  5. Step 5: Solve for x
    x = 107,598,775.91/11,872.34
  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.