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Finding the Fourth Proportional to 7,257.80, 10,886.70 and 7,136.30

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Solution

The fourth proportional to 7,257.80, 10,886.70 and 7,136.30 is: 10,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.80 : 10,886.70 = 7,136.30 : x
  2. Step 2: Convert to fraction form
    7,257.80/10,886.70 = 7,136.30/x
  3. Step 3: Cross multiply
    7,257.80x = 10,886.70 × 7,136.30
  4. Step 4: Simplify right side
    7,257.80x = 77,690,757.21
  5. Step 5: Solve for x
    x = 77,690,757.21/7,257.80
  6. Step 6: Final answer
    x = 10,704.45

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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.