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Finding the Fourth Proportional to 8,282.57, 11,428.74 and 4,697.37

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Solution

The fourth proportional to 8,282.57, 11,428.74 and 4,697.37 is: 6,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.57 : 11,428.74 = 4,697.37 : x
  2. Step 2: Convert to fraction form
    8,282.57/11,428.74 = 4,697.37/x
  3. Step 3: Cross multiply
    8,282.57x = 11,428.74 × 4,697.37
  4. Step 4: Simplify right side
    8,282.57x = 53,685,020.41
  5. Step 5: Solve for x
    x = 53,685,020.41/8,282.57
  6. Step 6: Final answer
    x = 6,481.69

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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.