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Finding the Fourth Proportional to 11,670, 16,118.04 and 8,497.48

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Solution

The fourth proportional to 11,670, 16,118.04 and 8,497.48 is: 11,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670 : 16,118.04 = 8,497.48 : x
  2. Step 2: Convert to fraction form
    11,670/16,118.04 = 8,497.48/x
  3. Step 3: Cross multiply
    11,670x = 16,118.04 × 8,497.48
  4. Step 4: Simplify right side
    11,670x = 136,962,680.05
  5. Step 5: Solve for x
    x = 136,962,680.05/11,670
  6. Step 6: Final answer
    x = 11,736.31

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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.