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Finding the Fourth Proportional to 13,211.57, 19,812.78 and 5,311.76

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Solution

The fourth proportional to 13,211.57, 19,812.78 and 5,311.76 is: 7,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.57 : 19,812.78 = 5,311.76 : x
  2. Step 2: Convert to fraction form
    13,211.57/19,812.78 = 5,311.76/x
  3. Step 3: Cross multiply
    13,211.57x = 19,812.78 × 5,311.76
  4. Step 4: Simplify right side
    13,211.57x = 105,240,633.23
  5. Step 5: Solve for x
    x = 105,240,633.23/13,211.57
  6. Step 6: Final answer
    x = 7,965.79

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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.