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Finding the Fourth Proportional to 10,557.56, 15,839.04 and 3,162

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Solution

The fourth proportional to 10,557.56, 15,839.04 and 3,162 is: 4,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.56 : 15,839.04 = 3,162 : x
  2. Step 2: Convert to fraction form
    10,557.56/15,839.04 = 3,162/x
  3. Step 3: Cross multiply
    10,557.56x = 15,839.04 × 3,162
  4. Step 4: Simplify right side
    10,557.56x = 50,083,044.48
  5. Step 5: Solve for x
    x = 50,083,044.48/10,557.56
  6. Step 6: Final answer
    x = 4,743.81

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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.