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Finding the Fourth Proportional to 12,110.64, 16,712.46 and 6,805.38

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Solution

The fourth proportional to 12,110.64, 16,712.46 and 6,805.38 is: 9,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.64 : 16,712.46 = 6,805.38 : x
  2. Step 2: Convert to fraction form
    12,110.64/16,712.46 = 6,805.38/x
  3. Step 3: Cross multiply
    12,110.64x = 16,712.46 × 6,805.38
  4. Step 4: Simplify right side
    12,110.64x = 113,734,641.03
  5. Step 5: Solve for x
    x = 113,734,641.03/12,110.64
  6. Step 6: Final answer
    x = 9,391.30

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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.