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Finding the Fourth Proportional to 10,682.80, 16,009.80 and 4,102.48

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Solution

The fourth proportional to 10,682.80, 16,009.80 and 4,102.48 is: 6,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.80 : 16,009.80 = 4,102.48 : x
  2. Step 2: Convert to fraction form
    10,682.80/16,009.80 = 4,102.48/x
  3. Step 3: Cross multiply
    10,682.80x = 16,009.80 × 4,102.48
  4. Step 4: Simplify right side
    10,682.80x = 65,679,884.30
  5. Step 5: Solve for x
    x = 65,679,884.30/10,682.80
  6. Step 6: Final answer
    x = 6,148.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.