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Finding the Fourth Proportional to 12,382.72, 17,096.16 and 7,672

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Solution

The fourth proportional to 12,382.72, 17,096.16 and 7,672 is: 10,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.72 : 17,096.16 = 7,672 : x
  2. Step 2: Convert to fraction form
    12,382.72/17,096.16 = 7,672/x
  3. Step 3: Cross multiply
    12,382.72x = 17,096.16 × 7,672
  4. Step 4: Simplify right side
    12,382.72x = 131,161,739.52
  5. Step 5: Solve for x
    x = 131,161,739.52/12,382.72
  6. Step 6: Final answer
    x = 10,592.32

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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.