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Finding the Fourth Proportional to 11,762.68, 17,708.21 and 10,729.33

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Solution

The fourth proportional to 11,762.68, 17,708.21 and 10,729.33 is: 16,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.68 : 17,708.21 = 10,729.33 : x
  2. Step 2: Convert to fraction form
    11,762.68/17,708.21 = 10,729.33/x
  3. Step 3: Cross multiply
    11,762.68x = 17,708.21 × 10,729.33
  4. Step 4: Simplify right side
    11,762.68x = 189,997,228.80
  5. Step 5: Solve for x
    x = 189,997,228.80/11,762.68
  6. Step 6: Final answer
    x = 16,152.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.