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Finding the Fourth Proportional to 10,765.40, 16,133.70 and 7,683.80

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Solution

The fourth proportional to 10,765.40, 16,133.70 and 7,683.80 is: 11,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.40 : 16,133.70 = 7,683.80 : x
  2. Step 2: Convert to fraction form
    10,765.40/16,133.70 = 7,683.80/x
  3. Step 3: Cross multiply
    10,765.40x = 16,133.70 × 7,683.80
  4. Step 4: Simplify right side
    10,765.40x = 123,968,124.06
  5. Step 5: Solve for x
    x = 123,968,124.06/10,765.40
  6. Step 6: Final answer
    x = 11,515.42

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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.