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Finding the Fourth Proportional to 11,778.68, 16,255.57 and 8,010.20

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Solution

The fourth proportional to 11,778.68, 16,255.57 and 8,010.20 is: 11,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.68 : 16,255.57 = 8,010.20 : x
  2. Step 2: Convert to fraction form
    11,778.68/16,255.57 = 8,010.20/x
  3. Step 3: Cross multiply
    11,778.68x = 16,255.57 × 8,010.20
  4. Step 4: Simplify right side
    11,778.68x = 130,210,366.81
  5. Step 5: Solve for x
    x = 130,210,366.81/11,778.68
  6. Step 6: Final answer
    x = 11,054.75

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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.