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Finding the Fourth Proportional to 10,231.24, 15,347.16 and 3,991

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Solution

The fourth proportional to 10,231.24, 15,347.16 and 3,991 is: 5,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.24 : 15,347.16 = 3,991 : x
  2. Step 2: Convert to fraction form
    10,231.24/15,347.16 = 3,991/x
  3. Step 3: Cross multiply
    10,231.24x = 15,347.16 × 3,991
  4. Step 4: Simplify right side
    10,231.24x = 61,250,495.61
  5. Step 5: Solve for x
    x = 61,250,495.61/10,231.24
  6. Step 6: Final answer
    x = 5,986.62

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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.