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Finding the Fourth Proportional to 11,347, 17,020.38 and 4,426.36

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Solution

The fourth proportional to 11,347, 17,020.38 and 4,426.36 is: 6,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347 : 17,020.38 = 4,426.36 : x
  2. Step 2: Convert to fraction form
    11,347/17,020.38 = 4,426.36/x
  3. Step 3: Cross multiply
    11,347x = 17,020.38 × 4,426.36
  4. Step 4: Simplify right side
    11,347x = 75,338,329.22
  5. Step 5: Solve for x
    x = 75,338,329.22/11,347
  6. Step 6: Final answer
    x = 6,639.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.