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Finding the Fourth Proportional to 27,655.74, 41,490.72 and 7,935.66

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Solution

The fourth proportional to 27,655.74, 41,490.72 and 7,935.66 is: 11,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,655.74 : 41,490.72 = 7,935.66 : x
  2. Step 2: Convert to fraction form
    27,655.74/41,490.72 = 7,935.66/x
  3. Step 3: Cross multiply
    27,655.74x = 41,490.72 × 7,935.66
  4. Step 4: Simplify right side
    27,655.74x = 329,256,247.08
  5. Step 5: Solve for x
    x = 329,256,247.08/27,655.74
  6. Step 6: Final answer
    x = 11,905.53

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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.