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Finding the Fourth Proportional to 27,633.28, 41,437.74 and 7,907.35

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Solution

The fourth proportional to 27,633.28, 41,437.74 and 7,907.35 is: 11,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633.28 : 41,437.74 = 7,907.35 : x
  2. Step 2: Convert to fraction form
    27,633.28/41,437.74 = 7,907.35/x
  3. Step 3: Cross multiply
    27,633.28x = 41,437.74 × 7,907.35
  4. Step 4: Simplify right side
    27,633.28x = 327,662,713.39
  5. Step 5: Solve for x
    x = 327,662,713.39/27,633.28
  6. Step 6: Final answer
    x = 11,857.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.