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Finding the Fourth Proportional to 27,006.63, 40,509.82 and 7,287.15

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Solution

The fourth proportional to 27,006.63, 40,509.82 and 7,287.15 is: 10,930.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006.63 : 40,509.82 = 7,287.15 : x
  2. Step 2: Convert to fraction form
    27,006.63/40,509.82 = 7,287.15/x
  3. Step 3: Cross multiply
    27,006.63x = 40,509.82 × 7,287.15
  4. Step 4: Simplify right side
    27,006.63x = 295,200,914.05
  5. Step 5: Solve for x
    x = 295,200,914.05/27,006.63
  6. Step 6: Final answer
    x = 10,930.69

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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.