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Finding the Fourth Proportional to 10,762.81, 16,141.07 and 4,187.43

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Solution

The fourth proportional to 10,762.81, 16,141.07 and 4,187.43 is: 6,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.81 : 16,141.07 = 4,187.43 : x
  2. Step 2: Convert to fraction form
    10,762.81/16,141.07 = 4,187.43/x
  3. Step 3: Cross multiply
    10,762.81x = 16,141.07 × 4,187.43
  4. Step 4: Simplify right side
    10,762.81x = 67,589,611.22
  5. Step 5: Solve for x
    x = 67,589,611.22/10,762.81
  6. Step 6: Final answer
    x = 6,279.92

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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.