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Finding the Fourth Proportional to 11,051.70, 16,580.31 and 5,206.94

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Solution

The fourth proportional to 11,051.70, 16,580.31 and 5,206.94 is: 7,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.70 : 16,580.31 = 5,206.94 : x
  2. Step 2: Convert to fraction form
    11,051.70/16,580.31 = 5,206.94/x
  3. Step 3: Cross multiply
    11,051.70x = 16,580.31 × 5,206.94
  4. Step 4: Simplify right side
    11,051.70x = 86,332,679.35
  5. Step 5: Solve for x
    x = 86,332,679.35/11,051.70
  6. Step 6: Final answer
    x = 7,811.71

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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.