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Finding the Fourth Proportional to 11,872, 16,382.10 and 6,566.68

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Solution

The fourth proportional to 11,872, 16,382.10 and 6,566.68 is: 9,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872 : 16,382.10 = 6,566.68 : x
  2. Step 2: Convert to fraction form
    11,872/16,382.10 = 6,566.68/x
  3. Step 3: Cross multiply
    11,872x = 16,382.10 × 6,566.68
  4. Step 4: Simplify right side
    11,872x = 107,576,008.43
  5. Step 5: Solve for x
    x = 107,576,008.43/11,872
  6. Step 6: Final answer
    x = 9,061.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.