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Finding the Fourth Proportional to 10,871.68, 16,305.12 and 3,080.32

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Solution

The fourth proportional to 10,871.68, 16,305.12 and 3,080.32 is: 4,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.68 : 16,305.12 = 3,080.32 : x
  2. Step 2: Convert to fraction form
    10,871.68/16,305.12 = 3,080.32/x
  3. Step 3: Cross multiply
    10,871.68x = 16,305.12 × 3,080.32
  4. Step 4: Simplify right side
    10,871.68x = 50,224,987.24
  5. Step 5: Solve for x
    x = 50,224,987.24/10,871.68
  6. Step 6: Final answer
    x = 4,619.80

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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.