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Finding the Fourth Proportional to 10,756.71, 16,136.19 and 2,965.50

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Solution

The fourth proportional to 10,756.71, 16,136.19 and 2,965.50 is: 4,448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.71 : 16,136.19 = 2,965.50 : x
  2. Step 2: Convert to fraction form
    10,756.71/16,136.19 = 2,965.50/x
  3. Step 3: Cross multiply
    10,756.71x = 16,136.19 × 2,965.50
  4. Step 4: Simplify right side
    10,756.71x = 47,851,871.45
  5. Step 5: Solve for x
    x = 47,851,871.45/10,756.71
  6. Step 6: Final answer
    x = 4,448.56

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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.