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Finding the Fourth Proportional to 8,489.70, 12,728.43 and 5,709.51

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Solution

The fourth proportional to 8,489.70, 12,728.43 and 5,709.51 is: 8,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.70 : 12,728.43 = 5,709.51 : x
  2. Step 2: Convert to fraction form
    8,489.70/12,728.43 = 5,709.51/x
  3. Step 3: Cross multiply
    8,489.70x = 12,728.43 × 5,709.51
  4. Step 4: Simplify right side
    8,489.70x = 72,673,098.37
  5. Step 5: Solve for x
    x = 72,673,098.37/8,489.70
  6. Step 6: Final answer
    x = 8,560.15

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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.