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Finding the Fourth Proportional to 27,287.57, 40,933.71 and 7,566.30

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Solution

The fourth proportional to 27,287.57, 40,933.71 and 7,566.30 is: 11,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,287.57 : 40,933.71 = 7,566.30 : x
  2. Step 2: Convert to fraction form
    27,287.57/40,933.71 = 7,566.30/x
  3. Step 3: Cross multiply
    27,287.57x = 40,933.71 × 7,566.30
  4. Step 4: Simplify right side
    27,287.57x = 309,716,729.97
  5. Step 5: Solve for x
    x = 309,716,729.97/27,287.57
  6. Step 6: Final answer
    x = 11,350.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.