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Finding the Fourth Proportional to 10,782.72, 16,175.67 and 5,520.70

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Solution

The fourth proportional to 10,782.72, 16,175.67 and 5,520.70 is: 8,281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.72 : 16,175.67 = 5,520.70 : x
  2. Step 2: Convert to fraction form
    10,782.72/16,175.67 = 5,520.70/x
  3. Step 3: Cross multiply
    10,782.72x = 16,175.67 × 5,520.70
  4. Step 4: Simplify right side
    10,782.72x = 89,301,097.43
  5. Step 5: Solve for x
    x = 89,301,097.43/10,782.72
  6. Step 6: Final answer
    x = 8,281.87

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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.