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Finding the Fourth Proportional to 11,664.70, 16,097.38 and 6,359.55

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Solution

The fourth proportional to 11,664.70, 16,097.38 and 6,359.55 is: 8,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.70 : 16,097.38 = 6,359.55 : x
  2. Step 2: Convert to fraction form
    11,664.70/16,097.38 = 6,359.55/x
  3. Step 3: Cross multiply
    11,664.70x = 16,097.38 × 6,359.55
  4. Step 4: Simplify right side
    11,664.70x = 102,372,145.39
  5. Step 5: Solve for x
    x = 102,372,145.39/11,664.70
  6. Step 6: Final answer
    x = 8,776.24

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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.