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Finding the Fourth Proportional to 11,805.30, 17,707.86 and 4,785.21

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Solution

The fourth proportional to 11,805.30, 17,707.86 and 4,785.21 is: 7,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.30 : 17,707.86 = 4,785.21 : x
  2. Step 2: Convert to fraction form
    11,805.30/17,707.86 = 4,785.21/x
  3. Step 3: Cross multiply
    11,805.30x = 17,707.86 × 4,785.21
  4. Step 4: Simplify right side
    11,805.30x = 84,735,828.75
  5. Step 5: Solve for x
    x = 84,735,828.75/11,805.30
  6. Step 6: Final answer
    x = 7,177.78

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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.