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Finding the Fourth Proportional to 10,871.52, 16,306.68 and 3,080.34

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Solution

The fourth proportional to 10,871.52, 16,306.68 and 3,080.34 is: 4,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.52 : 16,306.68 = 3,080.34 : x
  2. Step 2: Convert to fraction form
    10,871.52/16,306.68 = 3,080.34/x
  3. Step 3: Cross multiply
    10,871.52x = 16,306.68 × 3,080.34
  4. Step 4: Simplify right side
    10,871.52x = 50,230,118.67
  5. Step 5: Solve for x
    x = 50,230,118.67/10,871.52
  6. Step 6: Final answer
    x = 4,620.34

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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.