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Finding the Fourth Proportional to 11,478.60, 17,193.60 and 7,964.82

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Solution

The fourth proportional to 11,478.60, 17,193.60 and 7,964.82 is: 11,930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.60 : 17,193.60 = 7,964.82 : x
  2. Step 2: Convert to fraction form
    11,478.60/17,193.60 = 7,964.82/x
  3. Step 3: Cross multiply
    11,478.60x = 17,193.60 × 7,964.82
  4. Step 4: Simplify right side
    11,478.60x = 136,943,929.15
  5. Step 5: Solve for x
    x = 136,943,929.15/11,478.60
  6. Step 6: Final answer
    x = 11,930.37

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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.