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Finding the Fourth Proportional to 7,982.55, 11,973.86 and 2,788.43

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Solution

The fourth proportional to 7,982.55, 11,973.86 and 2,788.43 is: 4,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.55 : 11,973.86 = 2,788.43 : x
  2. Step 2: Convert to fraction form
    7,982.55/11,973.86 = 2,788.43/x
  3. Step 3: Cross multiply
    7,982.55x = 11,973.86 × 2,788.43
  4. Step 4: Simplify right side
    7,982.55x = 33,388,196.63
  5. Step 5: Solve for x
    x = 33,388,196.63/7,982.55
  6. Step 6: Final answer
    x = 4,182.65

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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.