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Finding the Fourth Proportional to 27,409.38, 41,115.59 and 7,689.47

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Solution

The fourth proportional to 27,409.38, 41,115.59 and 7,689.47 is: 11,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.38 : 41,115.59 = 7,689.47 : x
  2. Step 2: Convert to fraction form
    27,409.38/41,115.59 = 7,689.47/x
  3. Step 3: Cross multiply
    27,409.38x = 41,115.59 × 7,689.47
  4. Step 4: Simplify right side
    27,409.38x = 316,156,851.81
  5. Step 5: Solve for x
    x = 316,156,851.81/27,409.38
  6. Step 6: Final answer
    x = 11,534.62

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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.