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Finding the Fourth Proportional to 27,515.40, 41,272.62 and 6,739.08

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Solution

The fourth proportional to 27,515.40, 41,272.62 and 6,739.08 is: 10,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,515.40 : 41,272.62 = 6,739.08 : x
  2. Step 2: Convert to fraction form
    27,515.40/41,272.62 = 6,739.08/x
  3. Step 3: Cross multiply
    27,515.40x = 41,272.62 × 6,739.08
  4. Step 4: Simplify right side
    27,515.40x = 278,139,487.99
  5. Step 5: Solve for x
    x = 278,139,487.99/27,515.40
  6. Step 6: Final answer
    x = 10,108.50

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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.