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Finding the Fourth Proportional to 11,982.60, 16,535.94 and 6,677.88

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Solution

The fourth proportional to 11,982.60, 16,535.94 and 6,677.88 is: 9,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.60 : 16,535.94 = 6,677.88 : x
  2. Step 2: Convert to fraction form
    11,982.60/16,535.94 = 6,677.88/x
  3. Step 3: Cross multiply
    11,982.60x = 16,535.94 × 6,677.88
  4. Step 4: Simplify right side
    11,982.60x = 110,425,023.01
  5. Step 5: Solve for x
    x = 110,425,023.01/11,982.60
  6. Step 6: Final answer
    x = 9,215.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.