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Finding the Fourth Proportional to 11,570.33, 17,356.71 and 3,778.13

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Solution

The fourth proportional to 11,570.33, 17,356.71 and 3,778.13 is: 5,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.33 : 17,356.71 = 3,778.13 : x
  2. Step 2: Convert to fraction form
    11,570.33/17,356.71 = 3,778.13/x
  3. Step 3: Cross multiply
    11,570.33x = 17,356.71 × 3,778.13
  4. Step 4: Simplify right side
    11,570.33x = 65,575,819.97
  5. Step 5: Solve for x
    x = 65,575,819.97/11,570.33
  6. Step 6: Final answer
    x = 5,667.59

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