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Finding the Fourth Proportional to 27,586.13, 41,385.29 and 7,864.85

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Solution

The fourth proportional to 27,586.13, 41,385.29 and 7,864.85 is: 11,799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.13 : 41,385.29 = 7,864.85 : x
  2. Step 2: Convert to fraction form
    27,586.13/41,385.29 = 7,864.85/x
  3. Step 3: Cross multiply
    27,586.13x = 41,385.29 × 7,864.85
  4. Step 4: Simplify right side
    27,586.13x = 325,488,851.81
  5. Step 5: Solve for x
    x = 325,488,851.81/27,586.13
  6. Step 6: Final answer
    x = 11,799.01

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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.