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Finding the Fourth Proportional to 27,697.06, 41,541.94 and 7,707.88

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Solution

The fourth proportional to 27,697.06, 41,541.94 and 7,707.88 is: 11,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.06 : 41,541.94 = 7,707.88 : x
  2. Step 2: Convert to fraction form
    27,697.06/41,541.94 = 7,707.88/x
  3. Step 3: Cross multiply
    27,697.06x = 41,541.94 × 7,707.88
  4. Step 4: Simplify right side
    27,697.06x = 320,200,165.36
  5. Step 5: Solve for x
    x = 320,200,165.36/27,697.06
  6. Step 6: Final answer
    x = 11,560.80

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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.