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Finding the Fourth Proportional to 27,261.87, 40,893.61 and 7,541.88

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Solution

The fourth proportional to 27,261.87, 40,893.61 and 7,541.88 is: 11,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,261.87 : 40,893.61 = 7,541.88 : x
  2. Step 2: Convert to fraction form
    27,261.87/40,893.61 = 7,541.88/x
  3. Step 3: Cross multiply
    27,261.87x = 40,893.61 × 7,541.88
  4. Step 4: Simplify right side
    27,261.87x = 308,414,699.39
  5. Step 5: Solve for x
    x = 308,414,699.39/27,261.87
  6. Step 6: Final answer
    x = 11,313.04

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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.