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Finding the Fourth Proportional to 8,073.54, 11,146.46 and 6,401.70

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Solution

The fourth proportional to 8,073.54, 11,146.46 and 6,401.70 is: 8,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.54 : 11,146.46 = 6,401.70 : x
  2. Step 2: Convert to fraction form
    8,073.54/11,146.46 = 6,401.70/x
  3. Step 3: Cross multiply
    8,073.54x = 11,146.46 × 6,401.70
  4. Step 4: Simplify right side
    8,073.54x = 71,356,260.97
  5. Step 5: Solve for x
    x = 71,356,260.97/8,073.54
  6. Step 6: Final answer
    x = 8,838.29

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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.