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Finding the Fourth Proportional to 10,852.50, 16,247.07 and 6,679.83

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Solution

The fourth proportional to 10,852.50, 16,247.07 and 6,679.83 is: 10,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.50 : 16,247.07 = 6,679.83 : x
  2. Step 2: Convert to fraction form
    10,852.50/16,247.07 = 6,679.83/x
  3. Step 3: Cross multiply
    10,852.50x = 16,247.07 × 6,679.83
  4. Step 4: Simplify right side
    10,852.50x = 108,527,665.60
  5. Step 5: Solve for x
    x = 108,527,665.60/10,852.50
  6. Step 6: Final answer
    x = 10,000.25

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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.