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Finding the Fourth Proportional to 10,231.46, 15,346.50 and 3,990.31

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Solution

The fourth proportional to 10,231.46, 15,346.50 and 3,990.31 is: 5,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.46 : 15,346.50 = 3,990.31 : x
  2. Step 2: Convert to fraction form
    10,231.46/15,346.50 = 3,990.31/x
  3. Step 3: Cross multiply
    10,231.46x = 15,346.50 × 3,990.31
  4. Step 4: Simplify right side
    10,231.46x = 61,237,239.09
  5. Step 5: Solve for x
    x = 61,237,239.09/10,231.46
  6. Step 6: Final answer
    x = 5,985.19

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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.