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Finding the Fourth Proportional to 27,527.13, 41,292.75 and 7,807.27

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Solution

The fourth proportional to 27,527.13, 41,292.75 and 7,807.27 is: 11,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,527.13 : 41,292.75 = 7,807.27 : x
  2. Step 2: Convert to fraction form
    27,527.13/41,292.75 = 7,807.27/x
  3. Step 3: Cross multiply
    27,527.13x = 41,292.75 × 7,807.27
  4. Step 4: Simplify right side
    27,527.13x = 322,383,648.29
  5. Step 5: Solve for x
    x = 322,383,648.29/27,527.13
  6. Step 6: Final answer
    x = 11,711.49

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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.