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Finding the Fourth Proportional to 27,367.53, 41,053.59 and 7,646.28

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Solution

The fourth proportional to 27,367.53, 41,053.59 and 7,646.28 is: 11,470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,367.53 : 41,053.59 = 7,646.28 : x
  2. Step 2: Convert to fraction form
    27,367.53/41,053.59 = 7,646.28/x
  3. Step 3: Cross multiply
    27,367.53x = 41,053.59 × 7,646.28
  4. Step 4: Simplify right side
    27,367.53x = 313,907,244.15
  5. Step 5: Solve for x
    x = 313,907,244.15/27,367.53
  6. Step 6: Final answer
    x = 11,470.06

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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.