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Finding the Fourth Proportional to 11,645.37, 16,070.67 and 6,929.82

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Solution

The fourth proportional to 11,645.37, 16,070.67 and 6,929.82 is: 9,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.37 : 16,070.67 = 6,929.82 : x
  2. Step 2: Convert to fraction form
    11,645.37/16,070.67 = 6,929.82/x
  3. Step 3: Cross multiply
    11,645.37x = 16,070.67 × 6,929.82
  4. Step 4: Simplify right side
    11,645.37x = 111,366,850.38
  5. Step 5: Solve for x
    x = 111,366,850.38/11,645.37
  6. Step 6: Final answer
    x = 9,563.19

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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.