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Finding the Fourth Proportional to 8,328.46, 11,487.54 and 5,938.16

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Solution

The fourth proportional to 8,328.46, 11,487.54 and 5,938.16 is: 8,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328.46 : 11,487.54 = 5,938.16 : x
  2. Step 2: Convert to fraction form
    8,328.46/11,487.54 = 5,938.16/x
  3. Step 3: Cross multiply
    8,328.46x = 11,487.54 × 5,938.16
  4. Step 4: Simplify right side
    8,328.46x = 68,214,850.53
  5. Step 5: Solve for x
    x = 68,214,850.53/8,328.46
  6. Step 6: Final answer
    x = 8,190.57

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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.