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Finding the Fourth Proportional to 12,751.37, 17,596.65 and 7,086.05

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Solution

The fourth proportional to 12,751.37, 17,596.65 and 7,086.05 is: 9,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.37 : 17,596.65 = 7,086.05 : x
  2. Step 2: Convert to fraction form
    12,751.37/17,596.65 = 7,086.05/x
  3. Step 3: Cross multiply
    12,751.37x = 17,596.65 × 7,086.05
  4. Step 4: Simplify right side
    12,751.37x = 124,690,741.73
  5. Step 5: Solve for x
    x = 124,690,741.73/12,751.37
  6. Step 6: Final answer
    x = 9,778.62

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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.