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Finding the Fourth Proportional to 8,136.20, 12,189.72 and 7,698.80

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Solution

The fourth proportional to 8,136.20, 12,189.72 and 7,698.80 is: 11,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.20 : 12,189.72 = 7,698.80 : x
  2. Step 2: Convert to fraction form
    8,136.20/12,189.72 = 7,698.80/x
  3. Step 3: Cross multiply
    8,136.20x = 12,189.72 × 7,698.80
  4. Step 4: Simplify right side
    8,136.20x = 93,846,216.34
  5. Step 5: Solve for x
    x = 93,846,216.34/8,136.20
  6. Step 6: Final answer
    x = 11,534.40

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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.