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Finding the Fourth Proportional to 10,764.68, 16,131.68 and 7,931.23

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Solution

The fourth proportional to 10,764.68, 16,131.68 and 7,931.23 is: 11,885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.68 : 16,131.68 = 7,931.23 : x
  2. Step 2: Convert to fraction form
    10,764.68/16,131.68 = 7,931.23/x
  3. Step 3: Cross multiply
    10,764.68x = 16,131.68 × 7,931.23
  4. Step 4: Simplify right side
    10,764.68x = 127,944,064.37
  5. Step 5: Solve for x
    x = 127,944,064.37/10,764.68
  6. Step 6: Final answer
    x = 11,885.54

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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.