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Finding the Fourth Proportional to 8,341.34, 11,516.04 and 5,201.78

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Solution

The fourth proportional to 8,341.34, 11,516.04 and 5,201.78 is: 7,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.34 : 11,516.04 = 5,201.78 : x
  2. Step 2: Convert to fraction form
    8,341.34/11,516.04 = 5,201.78/x
  3. Step 3: Cross multiply
    8,341.34x = 11,516.04 × 5,201.78
  4. Step 4: Simplify right side
    8,341.34x = 59,903,906.55
  5. Step 5: Solve for x
    x = 59,903,906.55/8,341.34
  6. Step 6: Final answer
    x = 7,181.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.