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Finding the Fourth Proportional to 11,841.28, 16,340.38 and 6,802

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Solution

The fourth proportional to 11,841.28, 16,340.38 and 6,802 is: 9,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.28 : 16,340.38 = 6,802 : x
  2. Step 2: Convert to fraction form
    11,841.28/16,340.38 = 6,802/x
  3. Step 3: Cross multiply
    11,841.28x = 16,340.38 × 6,802
  4. Step 4: Simplify right side
    11,841.28x = 111,147,264.76
  5. Step 5: Solve for x
    x = 111,147,264.76/11,841.28
  6. Step 6: Final answer
    x = 9,386.42

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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.