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Finding the Fourth Proportional to 8,327.16, 11,471.93 and 5,804.68

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Solution

The fourth proportional to 8,327.16, 11,471.93 and 5,804.68 is: 7,996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.16 : 11,471.93 = 5,804.68 : x
  2. Step 2: Convert to fraction form
    8,327.16/11,471.93 = 5,804.68/x
  3. Step 3: Cross multiply
    8,327.16x = 11,471.93 × 5,804.68
  4. Step 4: Simplify right side
    8,327.16x = 66,590,882.63
  5. Step 5: Solve for x
    x = 66,590,882.63/8,327.16
  6. Step 6: Final answer
    x = 7,996.83

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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.