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Finding the Fourth Proportional to 11,820.28, 17,726.10 and 4,891

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Solution

The fourth proportional to 11,820.28, 17,726.10 and 4,891 is: 7,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.28 : 17,726.10 = 4,891 : x
  2. Step 2: Convert to fraction form
    11,820.28/17,726.10 = 4,891/x
  3. Step 3: Cross multiply
    11,820.28x = 17,726.10 × 4,891
  4. Step 4: Simplify right side
    11,820.28x = 86,698,355.10
  5. Step 5: Solve for x
    x = 86,698,355.10/11,820.28
  6. Step 6: Final answer
    x = 7,334.71

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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.