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Finding the Fourth Proportional to 10,311.46, 15,467.73 and 4,769.98

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Solution

The fourth proportional to 10,311.46, 15,467.73 and 4,769.98 is: 7,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.46 : 15,467.73 = 4,769.98 : x
  2. Step 2: Convert to fraction form
    10,311.46/15,467.73 = 4,769.98/x
  3. Step 3: Cross multiply
    10,311.46x = 15,467.73 × 4,769.98
  4. Step 4: Simplify right side
    10,311.46x = 73,780,762.75
  5. Step 5: Solve for x
    x = 73,780,762.75/10,311.46
  6. Step 6: Final answer
    x = 7,155.22

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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.