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Finding the Fourth Proportional to 11,633.57, 16,054.28 and 6,328.38

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Solution

The fourth proportional to 11,633.57, 16,054.28 and 6,328.38 is: 8,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.57 : 16,054.28 = 6,328.38 : x
  2. Step 2: Convert to fraction form
    11,633.57/16,054.28 = 6,328.38/x
  3. Step 3: Cross multiply
    11,633.57x = 16,054.28 × 6,328.38
  4. Step 4: Simplify right side
    11,633.57x = 101,597,552.82
  5. Step 5: Solve for x
    x = 101,597,552.82/11,633.57
  6. Step 6: Final answer
    x = 8,733.14

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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.