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Finding the Fourth Proportional to 10,516.82, 15,775.16 and 3,494.84

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Solution

The fourth proportional to 10,516.82, 15,775.16 and 3,494.84 is: 5,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.82 : 15,775.16 = 3,494.84 : x
  2. Step 2: Convert to fraction form
    10,516.82/15,775.16 = 3,494.84/x
  3. Step 3: Cross multiply
    10,516.82x = 15,775.16 × 3,494.84
  4. Step 4: Simplify right side
    10,516.82x = 55,131,563.82
  5. Step 5: Solve for x
    x = 55,131,563.82/10,516.82
  6. Step 6: Final answer
    x = 5,242.23

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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.