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Finding the Fourth Proportional to 6,193.17, 8,553.67 and 4,078.16

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Solution

The fourth proportional to 6,193.17, 8,553.67 and 4,078.16 is: 5,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.17 : 8,553.67 = 4,078.16 : x
  2. Step 2: Convert to fraction form
    6,193.17/8,553.67 = 4,078.16/x
  3. Step 3: Cross multiply
    6,193.17x = 8,553.67 × 4,078.16
  4. Step 4: Simplify right side
    6,193.17x = 34,883,197.18
  5. Step 5: Solve for x
    x = 34,883,197.18/6,193.17
  6. Step 6: Final answer
    x = 5,632.53

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