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Finding the Fourth Proportional to 10,825.80, 16,225.64 and 5,270.82

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Solution

The fourth proportional to 10,825.80, 16,225.64 and 5,270.82 is: 7,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.80 : 16,225.64 = 5,270.82 : x
  2. Step 2: Convert to fraction form
    10,825.80/16,225.64 = 5,270.82/x
  3. Step 3: Cross multiply
    10,825.80x = 16,225.64 × 5,270.82
  4. Step 4: Simplify right side
    10,825.80x = 85,522,427.82
  5. Step 5: Solve for x
    x = 85,522,427.82/10,825.80
  6. Step 6: Final answer
    x = 7,899.87

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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.