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Finding the Fourth Proportional to 10,764.33, 16,142.27 and 4,527.33

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Solution

The fourth proportional to 10,764.33, 16,142.27 and 4,527.33 is: 6,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.33 : 16,142.27 = 4,527.33 : x
  2. Step 2: Convert to fraction form
    10,764.33/16,142.27 = 4,527.33/x
  3. Step 3: Cross multiply
    10,764.33x = 16,142.27 × 4,527.33
  4. Step 4: Simplify right side
    10,764.33x = 73,081,360.60
  5. Step 5: Solve for x
    x = 73,081,360.60/10,764.33
  6. Step 6: Final answer
    x = 6,789.22

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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.