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Finding the Fourth Proportional to 27,536.65, 41,306.54 and 7,813.66

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Solution

The fourth proportional to 27,536.65, 41,306.54 and 7,813.66 is: 11,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,536.65 : 41,306.54 = 7,813.66 : x
  2. Step 2: Convert to fraction form
    27,536.65/41,306.54 = 7,813.66/x
  3. Step 3: Cross multiply
    27,536.65x = 41,306.54 × 7,813.66
  4. Step 4: Simplify right side
    27,536.65x = 322,755,259.34
  5. Step 5: Solve for x
    x = 322,755,259.34/27,536.65
  6. Step 6: Final answer
    x = 11,720.93

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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.