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Finding the Fourth Proportional to 27,640.35, 41,452.92 and 7,645.05

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Solution

The fourth proportional to 27,640.35, 41,452.92 and 7,645.05 is: 11,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640.35 : 41,452.92 = 7,645.05 : x
  2. Step 2: Convert to fraction form
    27,640.35/41,452.92 = 7,645.05/x
  3. Step 3: Cross multiply
    27,640.35x = 41,452.92 × 7,645.05
  4. Step 4: Simplify right side
    27,640.35x = 316,909,646.05
  5. Step 5: Solve for x
    x = 316,909,646.05/27,640.35
  6. Step 6: Final answer
    x = 11,465.47

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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.