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Finding the Fourth Proportional to 8,511.40, 12,741.90 and 6,329.80

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Solution

The fourth proportional to 8,511.40, 12,741.90 and 6,329.80 is: 9,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.40 : 12,741.90 = 6,329.80 : x
  2. Step 2: Convert to fraction form
    8,511.40/12,741.90 = 6,329.80/x
  3. Step 3: Cross multiply
    8,511.40x = 12,741.90 × 6,329.80
  4. Step 4: Simplify right side
    8,511.40x = 80,653,678.62
  5. Step 5: Solve for x
    x = 80,653,678.62/8,511.40
  6. Step 6: Final answer
    x = 9,475.96

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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.