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Finding the Fourth Proportional to 10,362, 15,540.31 and 2,964.73

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Solution

The fourth proportional to 10,362, 15,540.31 and 2,964.73 is: 4,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362 : 15,540.31 = 2,964.73 : x
  2. Step 2: Convert to fraction form
    10,362/15,540.31 = 2,964.73/x
  3. Step 3: Cross multiply
    10,362x = 15,540.31 × 2,964.73
  4. Step 4: Simplify right side
    10,362x = 46,072,823.27
  5. Step 5: Solve for x
    x = 46,072,823.27/10,362
  6. Step 6: Final answer
    x = 4,446.33

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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.