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Finding the Fourth Proportional to 7,136.89, 10,705.92 and 1,871.89

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Solution

The fourth proportional to 7,136.89, 10,705.92 and 1,871.89 is: 2,807.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.89 : 10,705.92 = 1,871.89 : x
  2. Step 2: Convert to fraction form
    7,136.89/10,705.92 = 1,871.89/x
  3. Step 3: Cross multiply
    7,136.89x = 10,705.92 × 1,871.89
  4. Step 4: Simplify right side
    7,136.89x = 20,040,304.59
  5. Step 5: Solve for x
    x = 20,040,304.59/7,136.89
  6. Step 6: Final answer
    x = 2,807.99

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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.