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Finding the Fourth Proportional to 10,782.68, 16,164.39 and 4,207.33

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Solution

The fourth proportional to 10,782.68, 16,164.39 and 4,207.33 is: 6,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.68 : 16,164.39 = 4,207.33 : x
  2. Step 2: Convert to fraction form
    10,782.68/16,164.39 = 4,207.33/x
  3. Step 3: Cross multiply
    10,782.68x = 16,164.39 × 4,207.33
  4. Step 4: Simplify right side
    10,782.68x = 68,008,958.96
  5. Step 5: Solve for x
    x = 68,008,958.96/10,782.68
  6. Step 6: Final answer
    x = 6,307.24

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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.