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Finding the Fourth Proportional to 11,841.48, 16,340.64 and 6,805.20

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Solution

The fourth proportional to 11,841.48, 16,340.64 and 6,805.20 is: 9,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.48 : 16,340.64 = 6,805.20 : x
  2. Step 2: Convert to fraction form
    11,841.48/16,340.64 = 6,805.20/x
  3. Step 3: Cross multiply
    11,841.48x = 16,340.64 × 6,805.20
  4. Step 4: Simplify right side
    11,841.48x = 111,201,323.33
  5. Step 5: Solve for x
    x = 111,201,323.33/11,841.48
  6. Step 6: Final answer
    x = 9,390.83

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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.