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Finding the Fourth Proportional to 10,211.92, 15,323.82 and 3,976.24

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Solution

The fourth proportional to 10,211.92, 15,323.82 and 3,976.24 is: 5,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.92 : 15,323.82 = 3,976.24 : x
  2. Step 2: Convert to fraction form
    10,211.92/15,323.82 = 3,976.24/x
  3. Step 3: Cross multiply
    10,211.92x = 15,323.82 × 3,976.24
  4. Step 4: Simplify right side
    10,211.92x = 60,931,186.04
  5. Step 5: Solve for x
    x = 60,931,186.04/10,211.92
  6. Step 6: Final answer
    x = 5,966.67

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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.