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Finding the Fourth Proportional to 27,409.91, 41,111.45 and 7,690

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Solution

The fourth proportional to 27,409.91, 41,111.45 and 7,690 is: 11,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.91 : 41,111.45 = 7,690 : x
  2. Step 2: Convert to fraction form
    27,409.91/41,111.45 = 7,690/x
  3. Step 3: Cross multiply
    27,409.91x = 41,111.45 × 7,690
  4. Step 4: Simplify right side
    27,409.91x = 316,147,012.05
  5. Step 5: Solve for x
    x = 316,147,012.05/27,409.91
  6. Step 6: Final answer
    x = 11,534.04

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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.