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Finding the Fourth Proportional to 11,563.02, 15,956.97 and 6,257.82

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Solution

The fourth proportional to 11,563.02, 15,956.97 and 6,257.82 is: 8,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.02 : 15,956.97 = 6,257.82 : x
  2. Step 2: Convert to fraction form
    11,563.02/15,956.97 = 6,257.82/x
  3. Step 3: Cross multiply
    11,563.02x = 15,956.97 × 6,257.82
  4. Step 4: Simplify right side
    11,563.02x = 99,855,846.01
  5. Step 5: Solve for x
    x = 99,855,846.01/11,563.02
  6. Step 6: Final answer
    x = 8,635.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.