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Finding the Fourth Proportional to 10,231.93, 15,347.90 and 6,768.37

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Solution

The fourth proportional to 10,231.93, 15,347.90 and 6,768.37 is: 10,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.93 : 15,347.90 = 6,768.37 : x
  2. Step 2: Convert to fraction form
    10,231.93/15,347.90 = 6,768.37/x
  3. Step 3: Cross multiply
    10,231.93x = 15,347.90 × 6,768.37
  4. Step 4: Simplify right side
    10,231.93x = 103,880,232.08
  5. Step 5: Solve for x
    x = 103,880,232.08/10,231.93
  6. Step 6: Final answer
    x = 10,152.56

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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.