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Finding the Fourth Proportional to 27,522.56, 41,283.72 and 6,746

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Solution

The fourth proportional to 27,522.56, 41,283.72 and 6,746 is: 10,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522.56 : 41,283.72 = 6,746 : x
  2. Step 2: Convert to fraction form
    27,522.56/41,283.72 = 6,746/x
  3. Step 3: Cross multiply
    27,522.56x = 41,283.72 × 6,746
  4. Step 4: Simplify right side
    27,522.56x = 278,499,975.12
  5. Step 5: Solve for x
    x = 278,499,975.12/27,522.56
  6. Step 6: Final answer
    x = 10,118.97

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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.