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Finding the Fourth Proportional to 11,506.55, 17,245.70 and 5,956.74

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Solution

The fourth proportional to 11,506.55, 17,245.70 and 5,956.74 is: 8,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.55 : 17,245.70 = 5,956.74 : x
  2. Step 2: Convert to fraction form
    11,506.55/17,245.70 = 5,956.74/x
  3. Step 3: Cross multiply
    11,506.55x = 17,245.70 × 5,956.74
  4. Step 4: Simplify right side
    11,506.55x = 102,728,121.23
  5. Step 5: Solve for x
    x = 102,728,121.23/11,506.55
  6. Step 6: Final answer
    x = 8,927.80

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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.