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Finding the Fourth Proportional to 6,997.14, 10,486.35 and 5,139.54

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Solution

The fourth proportional to 6,997.14, 10,486.35 and 5,139.54 is: 7,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.14 : 10,486.35 = 5,139.54 : x
  2. Step 2: Convert to fraction form
    6,997.14/10,486.35 = 5,139.54/x
  3. Step 3: Cross multiply
    6,997.14x = 10,486.35 × 5,139.54
  4. Step 4: Simplify right side
    6,997.14x = 53,895,015.28
  5. Step 5: Solve for x
    x = 53,895,015.28/6,997.14
  6. Step 6: Final answer
    x = 7,702.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.