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Finding the Fourth Proportional to 11,562.90, 15,956.91 and 6,257.83

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Solution

The fourth proportional to 11,562.90, 15,956.91 and 6,257.83 is: 8,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.90 : 15,956.91 = 6,257.83 : x
  2. Step 2: Convert to fraction form
    11,562.90/15,956.91 = 6,257.83/x
  3. Step 3: Cross multiply
    11,562.90x = 15,956.91 × 6,257.83
  4. Step 4: Simplify right side
    11,562.90x = 99,855,519.03
  5. Step 5: Solve for x
    x = 99,855,519.03/11,562.90
  6. Step 6: Final answer
    x = 8,635.86

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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.