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Finding the Fourth Proportional to 10,700.72, 16,048.32 and 3,202.80

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Solution

The fourth proportional to 10,700.72, 16,048.32 and 3,202.80 is: 4,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.72 : 16,048.32 = 3,202.80 : x
  2. Step 2: Convert to fraction form
    10,700.72/16,048.32 = 3,202.80/x
  3. Step 3: Cross multiply
    10,700.72x = 16,048.32 × 3,202.80
  4. Step 4: Simplify right side
    10,700.72x = 51,399,559.30
  5. Step 5: Solve for x
    x = 51,399,559.30/10,700.72
  6. Step 6: Final answer
    x = 4,803.37

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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.