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Finding the Fourth Proportional to 7,662.33, 11,516.43 and 6,354.69

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Solution

The fourth proportional to 7,662.33, 11,516.43 and 6,354.69 is: 9,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.33 : 11,516.43 = 6,354.69 : x
  2. Step 2: Convert to fraction form
    7,662.33/11,516.43 = 6,354.69/x
  3. Step 3: Cross multiply
    7,662.33x = 11,516.43 × 6,354.69
  4. Step 4: Simplify right side
    7,662.33x = 73,183,287.46
  5. Step 5: Solve for x
    x = 73,183,287.46/7,662.33
  6. Step 6: Final answer
    x = 9,551.05

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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.