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Finding the Fourth Proportional to 10,786.60, 16,174.43 and 4,938.20

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Solution

The fourth proportional to 10,786.60, 16,174.43 and 4,938.20 is: 7,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.60 : 16,174.43 = 4,938.20 : x
  2. Step 2: Convert to fraction form
    10,786.60/16,174.43 = 4,938.20/x
  3. Step 3: Cross multiply
    10,786.60x = 16,174.43 × 4,938.20
  4. Step 4: Simplify right side
    10,786.60x = 79,872,570.23
  5. Step 5: Solve for x
    x = 79,872,570.23/10,786.60
  6. Step 6: Final answer
    x = 7,404.80

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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.