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Finding the Fourth Proportional to 27,440.87, 41,156.52 and 7,714.74

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Solution

The fourth proportional to 27,440.87, 41,156.52 and 7,714.74 is: 11,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,440.87 : 41,156.52 = 7,714.74 : x
  2. Step 2: Convert to fraction form
    27,440.87/41,156.52 = 7,714.74/x
  3. Step 3: Cross multiply
    27,440.87x = 41,156.52 × 7,714.74
  4. Step 4: Simplify right side
    27,440.87x = 317,511,667.84
  5. Step 5: Solve for x
    x = 317,511,667.84/27,440.87
  6. Step 6: Final answer
    x = 11,570.76

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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.