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Finding the Fourth Proportional to 12,161.25, 16,782.53 and 6,572.25

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Solution

The fourth proportional to 12,161.25, 16,782.53 and 6,572.25 is: 9,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.25 : 16,782.53 = 6,572.25 : x
  2. Step 2: Convert to fraction form
    12,161.25/16,782.53 = 6,572.25/x
  3. Step 3: Cross multiply
    12,161.25x = 16,782.53 × 6,572.25
  4. Step 4: Simplify right side
    12,161.25x = 110,298,949.93
  5. Step 5: Solve for x
    x = 110,298,949.93/12,161.25
  6. Step 6: Final answer
    x = 9,069.71

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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.