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Finding the Fourth Proportional to 6,781.56, 10,176 and 5,137.80

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Solution

The fourth proportional to 6,781.56, 10,176 and 5,137.80 is: 7,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.56 : 10,176 = 5,137.80 : x
  2. Step 2: Convert to fraction form
    6,781.56/10,176 = 5,137.80/x
  3. Step 3: Cross multiply
    6,781.56x = 10,176 × 5,137.80
  4. Step 4: Simplify right side
    6,781.56x = 52,282,252.80
  5. Step 5: Solve for x
    x = 52,282,252.80/6,781.56
  6. Step 6: Final answer
    x = 7,709.47

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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.