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Finding the Fourth Proportional to 5,407.11, 8,096.64 and 4,632.09

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Solution

The fourth proportional to 5,407.11, 8,096.64 and 4,632.09 is: 6,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.11 : 8,096.64 = 4,632.09 : x
  2. Step 2: Convert to fraction form
    5,407.11/8,096.64 = 4,632.09/x
  3. Step 3: Cross multiply
    5,407.11x = 8,096.64 × 4,632.09
  4. Step 4: Simplify right side
    5,407.11x = 37,504,365.18
  5. Step 5: Solve for x
    x = 37,504,365.18/5,407.11
  6. Step 6: Final answer
    x = 6,936.12

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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.