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Finding the Fourth Proportional to 27,264.26, 40,891.64 and 7,274.00

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Solution

The fourth proportional to 27,264.26, 40,891.64 and 7,274.00 is: 10,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,264.26 : 40,891.64 = 7,274.00 : x
  2. Step 2: Convert to fraction form
    27,264.26/40,891.64 = 7,274.00/x
  3. Step 3: Cross multiply
    27,264.26x = 40,891.64 × 7,274.00
  4. Step 4: Simplify right side
    27,264.26x = 297,445,855.22
  5. Step 5: Solve for x
    x = 297,445,855.22/27,264.26
  6. Step 6: Final answer
    x = 10,909.73

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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.