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Finding the Fourth Proportional to 7,029.78, 10,546.41 and 2,647.50

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Solution

The fourth proportional to 7,029.78, 10,546.41 and 2,647.50 is: 3,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.78 : 10,546.41 = 2,647.50 : x
  2. Step 2: Convert to fraction form
    7,029.78/10,546.41 = 2,647.50/x
  3. Step 3: Cross multiply
    7,029.78x = 10,546.41 × 2,647.50
  4. Step 4: Simplify right side
    7,029.78x = 27,921,620.48
  5. Step 5: Solve for x
    x = 27,921,620.48/7,029.78
  6. Step 6: Final answer
    x = 3,971.91

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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.