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Finding the Fourth Proportional to 7,820.49, 10,793.21 and 4,676.61

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Solution

The fourth proportional to 7,820.49, 10,793.21 and 4,676.61 is: 6,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.49 : 10,793.21 = 4,676.61 : x
  2. Step 2: Convert to fraction form
    7,820.49/10,793.21 = 4,676.61/x
  3. Step 3: Cross multiply
    7,820.49x = 10,793.21 × 4,676.61
  4. Step 4: Simplify right side
    7,820.49x = 50,475,610.44
  5. Step 5: Solve for x
    x = 50,475,610.44/7,820.49
  6. Step 6: Final answer
    x = 6,454.28

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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.