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Finding the Fourth Proportional to 6,286.12, 8,693.64 and 5,498.80

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Solution

The fourth proportional to 6,286.12, 8,693.64 and 5,498.80 is: 7,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.12 : 8,693.64 = 5,498.80 : x
  2. Step 2: Convert to fraction form
    6,286.12/8,693.64 = 5,498.80/x
  3. Step 3: Cross multiply
    6,286.12x = 8,693.64 × 5,498.80
  4. Step 4: Simplify right side
    6,286.12x = 47,804,587.63
  5. Step 5: Solve for x
    x = 47,804,587.63/6,286.12
  6. Step 6: Final answer
    x = 7,604.78

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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.