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Finding the Fourth Proportional to 10,768.92, 14,859.50 and 6,052.29

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Solution

The fourth proportional to 10,768.92, 14,859.50 and 6,052.29 is: 8,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.92 : 14,859.50 = 6,052.29 : x
  2. Step 2: Convert to fraction form
    10,768.92/14,859.50 = 6,052.29/x
  3. Step 3: Cross multiply
    10,768.92x = 14,859.50 × 6,052.29
  4. Step 4: Simplify right side
    10,768.92x = 89,933,951.31
  5. Step 5: Solve for x
    x = 89,933,951.31/10,768.92
  6. Step 6: Final answer
    x = 8,351.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.