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Finding the Fourth Proportional to 7,136.80, 10,705.20 and 4,631.20

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Solution

The fourth proportional to 7,136.80, 10,705.20 and 4,631.20 is: 6,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.80 : 10,705.20 = 4,631.20 : x
  2. Step 2: Convert to fraction form
    7,136.80/10,705.20 = 4,631.20/x
  3. Step 3: Cross multiply
    7,136.80x = 10,705.20 × 4,631.20
  4. Step 4: Simplify right side
    7,136.80x = 49,577,922.24
  5. Step 5: Solve for x
    x = 49,577,922.24/7,136.80
  6. Step 6: Final answer
    x = 6,946.80

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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.