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Finding the Fourth Proportional to 8,453.94, 11,665.92 and 5,097.84

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Solution

The fourth proportional to 8,453.94, 11,665.92 and 5,097.84 is: 7,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.94 : 11,665.92 = 5,097.84 : x
  2. Step 2: Convert to fraction form
    8,453.94/11,665.92 = 5,097.84/x
  3. Step 3: Cross multiply
    8,453.94x = 11,665.92 × 5,097.84
  4. Step 4: Simplify right side
    8,453.94x = 59,470,993.61
  5. Step 5: Solve for x
    x = 59,470,993.61/8,453.94
  6. Step 6: Final answer
    x = 7,034.71

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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.