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Finding the Fourth Proportional to 10,786.88, 16,174.92 and 4,938.50

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Solution

The fourth proportional to 10,786.88, 16,174.92 and 4,938.50 is: 7,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.88 : 16,174.92 = 4,938.50 : x
  2. Step 2: Convert to fraction form
    10,786.88/16,174.92 = 4,938.50/x
  3. Step 3: Cross multiply
    10,786.88x = 16,174.92 × 4,938.50
  4. Step 4: Simplify right side
    10,786.88x = 79,879,842.42
  5. Step 5: Solve for x
    x = 79,879,842.42/10,786.88
  6. Step 6: Final answer
    x = 7,405.28

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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.