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Finding the Fourth Proportional to 11,783.76, 17,676.33 and 4,387.62

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Solution

The fourth proportional to 11,783.76, 17,676.33 and 4,387.62 is: 6,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.76 : 17,676.33 = 4,387.62 : x
  2. Step 2: Convert to fraction form
    11,783.76/17,676.33 = 4,387.62/x
  3. Step 3: Cross multiply
    11,783.76x = 17,676.33 × 4,387.62
  4. Step 4: Simplify right side
    11,783.76x = 77,557,019.03
  5. Step 5: Solve for x
    x = 77,557,019.03/11,783.76
  6. Step 6: Final answer
    x = 6,581.69

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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.