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Finding the Fourth Proportional to 10,756.23, 16,131.63 and 3,829.11

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Solution

The fourth proportional to 10,756.23, 16,131.63 and 3,829.11 is: 5,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.23 : 16,131.63 = 3,829.11 : x
  2. Step 2: Convert to fraction form
    10,756.23/16,131.63 = 3,829.11/x
  3. Step 3: Cross multiply
    10,756.23x = 16,131.63 × 3,829.11
  4. Step 4: Simplify right side
    10,756.23x = 61,769,785.75
  5. Step 5: Solve for x
    x = 61,769,785.75/10,756.23
  6. Step 6: Final answer
    x = 5,742.70

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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.