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Finding the Fourth Proportional to 6,410.10, 8,842.77 and 5,524.38

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Solution

The fourth proportional to 6,410.10, 8,842.77 and 5,524.38 is: 7,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.10 : 8,842.77 = 5,524.38 : x
  2. Step 2: Convert to fraction form
    6,410.10/8,842.77 = 5,524.38/x
  3. Step 3: Cross multiply
    6,410.10x = 8,842.77 × 5,524.38
  4. Step 4: Simplify right side
    6,410.10x = 48,850,821.73
  5. Step 5: Solve for x
    x = 48,850,821.73/6,410.10
  6. Step 6: Final answer
    x = 7,620.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.