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Finding the Fourth Proportional to 10,871.38, 16,309.77 and 3,080.26

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Solution

The fourth proportional to 10,871.38, 16,309.77 and 3,080.26 is: 4,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.38 : 16,309.77 = 3,080.26 : x
  2. Step 2: Convert to fraction form
    10,871.38/16,309.77 = 3,080.26/x
  3. Step 3: Cross multiply
    10,871.38x = 16,309.77 × 3,080.26
  4. Step 4: Simplify right side
    10,871.38x = 50,238,332.14
  5. Step 5: Solve for x
    x = 50,238,332.14/10,871.38
  6. Step 6: Final answer
    x = 4,621.16

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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.