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Finding the Fourth Proportional to 10,671.68, 14,727.12 and 6,195.80

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Solution

The fourth proportional to 10,671.68, 14,727.12 and 6,195.80 is: 8,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.68 : 14,727.12 = 6,195.80 : x
  2. Step 2: Convert to fraction form
    10,671.68/14,727.12 = 6,195.80/x
  3. Step 3: Cross multiply
    10,671.68x = 14,727.12 × 6,195.80
  4. Step 4: Simplify right side
    10,671.68x = 91,246,290.10
  5. Step 5: Solve for x
    x = 91,246,290.10/10,671.68
  6. Step 6: Final answer
    x = 8,550.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.