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Finding the Fourth Proportional to 8,260.14, 11,401.02 and 5,114.46

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Solution

The fourth proportional to 8,260.14, 11,401.02 and 5,114.46 is: 7,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.14 : 11,401.02 = 5,114.46 : x
  2. Step 2: Convert to fraction form
    8,260.14/11,401.02 = 5,114.46/x
  3. Step 3: Cross multiply
    8,260.14x = 11,401.02 × 5,114.46
  4. Step 4: Simplify right side
    8,260.14x = 58,310,060.75
  5. Step 5: Solve for x
    x = 58,310,060.75/8,260.14
  6. Step 6: Final answer
    x = 7,059.21

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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.