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Finding the Fourth Proportional to 11,645.80, 16,071.06 and 6,340.48

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Solution

The fourth proportional to 11,645.80, 16,071.06 and 6,340.48 is: 8,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.80 : 16,071.06 = 6,340.48 : x
  2. Step 2: Convert to fraction form
    11,645.80/16,071.06 = 6,340.48/x
  3. Step 3: Cross multiply
    11,645.80x = 16,071.06 × 6,340.48
  4. Step 4: Simplify right side
    11,645.80x = 101,898,234.51
  5. Step 5: Solve for x
    x = 101,898,234.51/11,645.80
  6. Step 6: Final answer
    x = 8,749.78

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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.