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Finding the Fourth Proportional to 10,767.90, 14,859.63 and 6,052.19

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Solution

The fourth proportional to 10,767.90, 14,859.63 and 6,052.19 is: 8,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.90 : 14,859.63 = 6,052.19 : x
  2. Step 2: Convert to fraction form
    10,767.90/14,859.63 = 6,052.19/x
  3. Step 3: Cross multiply
    10,767.90x = 14,859.63 × 6,052.19
  4. Step 4: Simplify right side
    10,767.90x = 89,933,229.79
  5. Step 5: Solve for x
    x = 89,933,229.79/10,767.90
  6. Step 6: Final answer
    x = 8,351.97

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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.