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Finding the Fourth Proportional to 27,415.11, 41,122.48 and 7,693.67

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Solution

The fourth proportional to 27,415.11, 41,122.48 and 7,693.67 is: 11,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.11 : 41,122.48 = 7,693.67 : x
  2. Step 2: Convert to fraction form
    27,415.11/41,122.48 = 7,693.67/x
  3. Step 3: Cross multiply
    27,415.11x = 41,122.48 × 7,693.67
  4. Step 4: Simplify right side
    27,415.11x = 316,382,748.23
  5. Step 5: Solve for x
    x = 316,382,748.23/27,415.11
  6. Step 6: Final answer
    x = 11,540.45

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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.