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Finding the Fourth Proportional to 10,762.96, 16,168.75 and 6,383.29

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Solution

The fourth proportional to 10,762.96, 16,168.75 and 6,383.29 is: 9,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.96 : 16,168.75 = 6,383.29 : x
  2. Step 2: Convert to fraction form
    10,762.96/16,168.75 = 6,383.29/x
  3. Step 3: Cross multiply
    10,762.96x = 16,168.75 × 6,383.29
  4. Step 4: Simplify right side
    10,762.96x = 103,209,844.65
  5. Step 5: Solve for x
    x = 103,209,844.65/10,762.96
  6. Step 6: Final answer
    x = 9,589.35

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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.