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Finding the Fourth Proportional to 27,526.39, 41,289.57 and 7,805.11

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Solution

The fourth proportional to 27,526.39, 41,289.57 and 7,805.11 is: 11,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,526.39 : 41,289.57 = 7,805.11 : x
  2. Step 2: Convert to fraction form
    27,526.39/41,289.57 = 7,805.11/x
  3. Step 3: Cross multiply
    27,526.39x = 41,289.57 × 7,805.11
  4. Step 4: Simplify right side
    27,526.39x = 322,269,635.70
  5. Step 5: Solve for x
    x = 322,269,635.70/27,526.39
  6. Step 6: Final answer
    x = 11,707.66

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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.